Question

Identify the numbers from the set {1, 2, 3, 4, 5} that satisfy the inequality 5x + 2 > 12.

a. {1,2}
b. {1,2,3}
c. {3,4,5}
d. {2, 3, 4, 5}

Answer 1

To solve the inequality 5x + 2 > 12, subtract 2 from both sides and divide both sides by 5 to isolate x. The numbers from the set {1, 2, 3, 4, 5} that satisfy the inequality are 3, 4, and 5.

Step-by-step explanation:

To solve the inequality 5x + 2 > 12, we need to isolate the variable x. Begin by subtracting 2 from both sides of the inequality: 5x + 2 - 2 > 12 - 2, which simplifies to 5x > 10. Next, divide both sides of the inequality by 5: 5x/5 > 10/5, which simplifies to x > 2.

So any number in the set {1, 2, 3, 4, 5} that is greater than 2 will satisfy the inequality. The numbers that satisfy the inequality are 3, 4, and 5.

Therefore, the correct answer is c. {3, 4, 5}.