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.
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