What is the solution to the compound inequality 3x − 8 ≥ −5 and 2x − 7 < 5?

x ≤ 1 and x > 6
1 ≤ x < 6
x > 1 and x > 6
1 < x < 6

The solution to the compound inequality is given by:

The compound inequality is given by:

and

on adding both side of the inequality by 8 we get:

Now on dividing both side of the inequality by 3 we get:

On adding both side of the inequality by 7 we get:

on dividing both side of the inequality by 2 we get:

Hence, the solution of the compound inequality is:

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.