5 ( 5 - 3x) + 10 < 65

x >-2

Step-by-step explanation:

5 ( 5 - 3x) + 10 < 65

Subtract 10 from each side

5 ( 5 - 3x) + 10-10 < 65-10

5 ( 5 - 3x)  < 55

Divide each side by 5

5/5 ( 5 - 3x)  < 55/5

5-3x < 11

Subtract 5 from each side

5-3x-5 < 11-5

-3x< 6

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 6/-3

x >-2

x > -2

Step-by-step explanation:

Step 1:  Distribute

5(5 - 3x) + 10 < 65

(5 * 5) + (5 * -3x) + 10 < 65

25 - 15x + 10 < 65

Step 2:  Combine like terms

25 - 15x + 10 < 65

35 - 15x < 65

Step 2:  Subtract 35 from both sides

35 - 15x - 35 < 65 - 35

-15x < 30

Step 3:  Divide both sides by -15

-15x / -15 < 30 / -15

Since you divide by a negative, you must flip the sign.

x > -2

 x > -2

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed