Question

Solve the inequality −3s+7 ≤ 8 or −2s+4≥12​

a. s ≥ -1/3
b. s ≥ -1/3 pr s < -4
c. s < -4
d. s ≥ -1/3 and s < 4

Answer 1

To solve the inequality -3s+7 ≤ 8 or -2s+4 ≥ 12, solve each inequality separately and then find the intersection of the solutions: s ≥ -1/3 pr s < -4. The correct answer is option (b).

Step-by-step explanation:

To solve the inequality -3s+7 ≤ 8 or -2s+4 ≥ 12, we need to solve each inequality separately and then find the intersection of the solutions:

1. -3s+7 ≤ 8
   Subtract 7 from both sides:
   -3s ≤ 1
   Divide by -3, remembering to reverse the inequality sign since we are dividing by a negative number:
   s ≥ -1/3
2. -2s+4 ≥ 12
   Subtract 4 from both sides:
   -2s ≥ 8
   Divide by -2, remembering to reverse the inequality sign:
   s ≤ -4

The intersection of the solutions is s ≥ -1/3 and s ≤ -4. However, since there is no option that matches this solution, the closest option is s ≥ -1/3 pr s < -4, option (b).