Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x 1)? check all that apply.
Answers
The solution for the inequality given exists x > -11/10. The inequality contains an infinite number of solutions as long as it is greater than -11/10.
How to determine the value of x?
Given: 4(2 – x) > –2x – 3(4x + 1)
The inequality can be simplified to
8 – 4x > -14x – 3
subtract 8 from both sides of the equation, and we get
8 – 4x – 8 > -14x – 3 – 8
– 4x > -14x – 11
Add 14x from both sides
– 4x + 14x > -14x – 11 + 14x
10x > – 11
x > – 11/10
The solution for the inequality given exists x > -11/10. This means that any number greater than-11/10 exists as a solution to the inequality given. The inequality contains an infinite number of solutions as long as it is greater than -11/10.
How to determine the value of x?