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Find c for the inequality 3/4c + 7 ≤ 1/4.

a) c ≤ -9
b) c ≥ -9
c) c ≤ -3
d) c ≥ -3

1 Answer

2 votes

Final Answer:

The solution to the inequality '3/4c + 7 ≤ 1/4' is c ≤ -9. Option A is answer.

Step-by-step explanation:

Subtract 7 from both sides:

3/4c ≤ -7

Multiply both sides by 4/3:

c ≤ -28/3

Simplify:

c ≤ -9.333

Therefore, the correct answer is c ≤ -9.

In conclusion, the solution to the inequality ''3/4c + 7 ≤ 1/4' is c≤−9, as obtained through the subtraction and multiplication steps. This result aligns with Option A.

Therefore, it is concluded that the inequality given '3/4c + 7 ≤ 1/4' has the solution c ≤ -9.

Option A is answer.

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