Question

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

Answer 1

Answer: C) $x\geq1\frac{1}{2}$

Step-by-step explanation:

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

$4x-7\geq \frac{-12x+14}{4}$

Step 1: Simplify both sides of the inequality.

$4x-7\geq -3x +\frac{7}{2}$

Step 2: Add 3x to both sides.

$4x+3x-7\geq -3x+3x +\frac{7}{2}\\7x-7\geq\frac{7}{2}$

Step 3: Add 7 to both sides.

$7x-7+7\geq\frac{7}{2} +7\\7x\geq\frac{21}{2}$

Step 4: Multiply both sides by $\frac{1}{7}$.

$7x(\frac{1}{7}) \geq\frac{21}{2} (\frac{1}{7}) \\x\geq\frac{21}{14} \\x\geq 1\frac{1}{2}$