Question

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!

Answer 1

W=15 Subtract 80 from both sides then you divide by -2w.

Answer 2

Answer:

(1). The solution of inequality is 15>w. It means the width of the rectangle is less than 15 inches.

(2) The solution set is w={10,11,12,13,14}.

Step-by-step explanation:

The given inequality is

$80-2w>50$

where, w is the width of the rectangle in inches.

Add 2w on both sides.

$80-2w+2w>50+2w$

$80>50+2w$

Subtract 50 from both sides.

$80-50>50+2w-50$

$30>2w$

Divide both sides by 2.

$\frac{30}{2}>w$

$15>w$          ... (1)

The solution of inequality is 15>w. It means the width of the rectangle is less than 15 inches.

The width must be at least 10 inches and a whole number.

$10\leq w$           .... (2)

Using (1) and (2), we get

$10\leq w$

$w=\{10,11,12,13,14\}$

Therefore the solution set is w={10,11,12,13,14}.