Find the smallest integer that satisfies the inequalities

a. 4x - 15 > x + 8

b. 2x + 13 >7x

The answer is a. x>23/3

a. x> 23 / 3

b: x< 13/5

Step-by-step explanation:

A: Step 1: Subtract x from both sides.

4x-15-x>x+8-x

3x-15>8

Step 2: Add 15 to both sides.

3x-15+15>8+15

3x>23

Step 3: Divide both sides by 3.

x> 23/3

B: Step 1: Subtract 7x from both sides.

2x+13-7x>7x-7x

-5x+13>0

Step 2: Subtract 13 from both sides.

-5x+13-13>0-13

-5x>-13

Step 3: Divide both sides by - 5.

Answer: x< 13/5