Question

How do I solve this. It’s for a study guide so pls help!!

Answer 1

Answer: C)
`x\geq1(1)/(2)`

Explanation:

Let's solve your inequality step-by-step.

`4x-7\geq (-12x+14)/(4)`

Step 1: Simplify both sides of the inequality.

`4x-7\geq -3x +(7)/(2)`

Step 2: Add 3x to both sides.

`4x+3x-7\geq -3x+3x +(7)/(2)\\7x-7\geq(7)/(2)`

Step 3: Add 7 to both sides.

`7x-7+7\geq(7)/(2) +7\\7x\geq(21)/(2)`

Step 4: Multiply both sides by
`(1)/(7)`.

`7x((1)/(7)) \geq(21)/(2) ((1)/(7)) \\x\geq(21)/(14) \\x\geq 1(1)/(2)`