Question

7f - 3 ≤ 4f + 6
a) f ≤ 3
b) f ≥ 3
c) f ≤ -9
d) f ≥ -9

Answer 1

To solve the inequality, move variable terms to one side and constants to the other, resulting in f ≤ 3, so the answer is (a) f ≤ 3.

Step-by-step explanation:

To solve the inequality 7f - 3 ≤ 4f + 6, we first want to get all the terms with the variable f on one side and the constant terms on the other side. We accomplish this by subtracting 4f from both sides, which gives us 3f - 3 ≤ 6. Next, we add 3 to both sides of the inequality to isolate the term with f, resulting in 3f ≤ 9. Finally, we divide both sides by 3 to solve for f, yielding f ≤ 3. Therefore, the correct answer is (a) f ≤ 3.