Answer:
[tex]\boxed{\bold{True}}[/tex]
[tex]\boxed{\bold{False}}[/tex]
Step By Step Explanation:
Equation: [tex]\bold{\frac{x-5}{-2}\ge -4}[/tex]
Multiply Both Sides By -1 (Reverse Inequality)
[tex]\bold{\frac{\left(x-5\right)\left(-1\right)}{-2}\le \left(-4\right)\left(-1\right)}[/tex]
Simplify
[tex]\bold{\frac{x-5}{2}\le \:4}[/tex]
Multiply Both Sides By 2
[tex]\bold{\frac{2\left(x-5\right)}{2}\le \:4\cdot \:2}[/tex]
Simplify
[tex]\bold{x-5\le \:8}[/tex]
Add 5 To Both Sides
[tex]\bold{x-5+5\le \:8+5}[/tex]
Simplify
[tex]\bold{x\le \:13}[/tex]
=======================================
Equation: [tex]\bold{\frac{x-3}{2}\ge 4}[/tex]
Multiply Both Sides By 2
[tex]\bold{\frac{2\left(x-3\right)}{2}\ge \:4\cdot \:2}[/tex]
Simplify
[tex]\bold{x-3\ge \:8}[/tex]
Add 3 To Both Sides
[tex]\bold{x-3+3\ge \:8+3}[/tex]
Simplify
[tex]\bold{x\ge \:11}[/tex]
