Question

Are these questions true or false?
Its on inequalities

Answer 1

`\boxed{\bold{True}}`

`\boxed{\bold{False}}`

Step By Step Explanation:

Equation:
`\bold{(x-5)/(-2)\ge -4}`

Multiply Both Sides By -1 (Reverse Inequality)

`\bold{(\left(x-5\right)\left(-1\right))/(-2)\le \left(-4\right)\left(-1\right)}`

Simplify

`\bold{(x-5)/(2)\le \:4}`

Multiply Both Sides By 2

`\bold{(2\left(x-5\right))/(2)\le \:4\cdot \:2}`

Simplify

`\bold{x-5\le \:8}`

Add 5 To Both Sides

`\bold{x-5+5\le \:8+5}`

Simplify

`\bold{x\le \:13}`

=======================================

Equation:
`\bold{(x-3)/(2)\ge 4}`

Multiply Both Sides By 2

`\bold{(2\left(x-3\right))/(2)\ge \:4\cdot \:2}`

Simplify

`\bold{x-3\ge \:8}`

Add 3 To Both Sides

`\bold{x-3+3\ge \:8+3}`

Simplify

`\bold{x\ge \:11}`