Introduction to grade 8 math inequalities:
In mathematics, an inequalities is a statement about the relative size or order of two objects or about whether they are the same or not.
The notation a < b means that a is less than b.
The notation a > b means that a is greater than b.
The notation a ? b means that a is not equal to b.
In this article we shall discuss about math grade 8 inequalities. (Source: Wikipedia)
Grade 8 math inequalities example problem
Here we are going to discuss some 8th grade inequalities problems with detailed solutions.
Example:
Solving the inequalities 5x – 12 > 4x +12
Solution:
The given inequalities is
5x – 12 > 4x +12
Adding the 12 on both side of equation
5x -12+12> 4x +12+12
5x>4x+24
Subtract 4x on both side of the inequality equation
x>24
Example:
Solving the following inequality equation -5< 4(x+2)-5<19 br="">
Solution:
The given inequality is
-5< 4(x+2)-5<19 br="">
Multiplying the factor for given inequality equation
-5<4x br="">
-5<4x br="">
Subtracting three on both sides of the inequality equation
-5-3<4x br="">
-8<4x br="">
Divide by 4 for all terms in inequality
-2
Conclusion:
The solution includes all real number value the interval is (-2, 4)
Example:
Solving the following inequality equation -4< 2(x+6)-2<12 br="">
Solution:
Given inequality is
-4< 2(x+6)-2<12 br="">
Multiplying factor values for given inequality equation
-4<2x br="">
-4<2x br="">
Subtracting 10 on both sides of equation
-4-10<2x br="">
-14<2x br="">
Divide by 2 for all terms in equation
-7
Conclusion:
The solution includes all real number value the interval is (-7, 1)
Example:
Solving the inequality 6x – 4 > 3x +14
Solution:
The given inequality is
6x – 4 > 3x +14
Adding the value four on both side of equation
6x -4+4> 3x +14+4
6x>3x+18
Subtract value 3x on both side of the equation
3x>18
Simplifying the value x
x>18/3
x>6
Conclusion:
The solution includes all real number value the interval is (6, infinity)
Example:
Solving the inequality 8x – 2 > 3x +13
Solution:
The given inequality is
8x – 2 > 3x +13
Adding the value two on both side of equation
8x -2+2> 3x +13+2
8x>3x+15
Subtract value 3x on both side of the equation
5x>15
Simplifying the value x
x>15/5
x>3
Conclusion:
The solution includes all real number value the interval is (3, infinity)
I have recently faced lot of problem while learning Properties of Real Numbers Chart, But thank to online resources of math which helped me to learn myself easily on net.
Grade 8 math inequalities practice problem
Problem:
Solving the inequality -4< 4(x+2)-4<16 br="">
Answer:
The solution includes the interval is (-2, 3)
Problem:
Solving the inequality equation -2< 4(x+6)-3<10 br="">
Answer:
The solution includes all real number value the interval is (-6, -2.75)
In mathematics, an inequalities is a statement about the relative size or order of two objects or about whether they are the same or not.
The notation a < b means that a is less than b.
The notation a > b means that a is greater than b.
The notation a ? b means that a is not equal to b.
In this article we shall discuss about math grade 8 inequalities. (Source: Wikipedia)
Grade 8 math inequalities example problem
Here we are going to discuss some 8th grade inequalities problems with detailed solutions.
Example:
Solving the inequalities 5x – 12 > 4x +12
Solution:
The given inequalities is
5x – 12 > 4x +12
Adding the 12 on both side of equation
5x -12+12> 4x +12+12
5x>4x+24
Subtract 4x on both side of the inequality equation
x>24
Example:
Solving the following inequality equation -5< 4(x+2)-5<19 br="">
Solution:
The given inequality is
-5< 4(x+2)-5<19 br="">
Multiplying the factor for given inequality equation
-5<4x br="">
-5<4x br="">
Subtracting three on both sides of the inequality equation
-5-3<4x br="">
-8<4x br="">
Divide by 4 for all terms in inequality
-2
Conclusion:
The solution includes all real number value the interval is (-2, 4)
Example:
Solving the following inequality equation -4< 2(x+6)-2<12 br="">
Solution:
Given inequality is
-4< 2(x+6)-2<12 br="">
Multiplying factor values for given inequality equation
-4<2x br="">
-4<2x br="">
Subtracting 10 on both sides of equation
-4-10<2x br="">
-14<2x br="">
Divide by 2 for all terms in equation
-7
Conclusion:
The solution includes all real number value the interval is (-7, 1)
Example:
Solving the inequality 6x – 4 > 3x +14
Solution:
The given inequality is
6x – 4 > 3x +14
Adding the value four on both side of equation
6x -4+4> 3x +14+4
6x>3x+18
Subtract value 3x on both side of the equation
3x>18
Simplifying the value x
x>18/3
x>6
Conclusion:
The solution includes all real number value the interval is (6, infinity)
Example:
Solving the inequality 8x – 2 > 3x +13
Solution:
The given inequality is
8x – 2 > 3x +13
Adding the value two on both side of equation
8x -2+2> 3x +13+2
8x>3x+15
Subtract value 3x on both side of the equation
5x>15
Simplifying the value x
x>15/5
x>3
Conclusion:
The solution includes all real number value the interval is (3, infinity)
I have recently faced lot of problem while learning Properties of Real Numbers Chart, But thank to online resources of math which helped me to learn myself easily on net.
Grade 8 math inequalities practice problem
Problem:
Solving the inequality -4< 4(x+2)-4<16 br="">
Answer:
The solution includes the interval is (-2, 3)
Problem:
Solving the inequality equation -2< 4(x+6)-3<10 br="">
Answer:
The solution includes all real number value the interval is (-6, -2.75)
