Question

6h-6+2h<(4h - 3)
a) h < 3
b) h > 3
c) h ≤ 3
d) h ≥ 3

Answer 1

To solve the inequality 6h-6+2h<(4h - 3), we need to combine like terms, isolate the h term, and solve for h. The correct answer is h < 3.

Step-by-step explanation:

In order to solve the inequality 6h-6+2h<(4h - 3), we need to simplify both sides of the inequality and solve for h.

First, combine like terms on the left side of the inequality: 8h - 6 < 4h - 3.

Next, subtract 4h from both sides to isolate the h term: 4h - 6 < -3.

Finally, add 6 to both sides to solve for h: 4h < 3 or h < 3/4.

Therefore, the correct answer is a) h < 3.