Question

What is the solution of the inequality 12x+14≥32x+34

Answer 1

`x \leq -1`

Explanation:

Given

`12x+14\geq 32x+34`

Required

Solve

`12x+14\geq 32x+34`

Collect Like Terms

`12x - 32x \geq 34 - 14`

`-20x \geq 20`

Divide through by -20.

At this point, the inequality sign will change.

`(-20x)/(-20) \leq (20)/(-20)`

`x \leq -1`