Question

question
solve the following inequality for h. write your answer in simplest form.
6h + 4 ≤ -2h + 5
answer attempt 1 out of 5
h
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Explanation:

Step1: Add 2h to both sides

To isolate the terms with \( h \), we add \( 2h \) to both sides of the inequality \( 6h + 4 \leq -2h + 5 \). This gives us \( 6h + 2h + 4 \leq -2h + 2h + 5 \), which simplifies to \( 8h + 4 \leq 5 \).

Step2: Subtract 4 from both sides

Next, we subtract 4 from both sides to get the term with \( h \) alone on the left. So, \( 8h + 4 - 4 \leq 5 - 4 \), which simplifies to \( 8h \leq 1 \).

Step3: Divide by 8

Finally, we divide both sides by 8 to solve for \( h \). This gives \( \frac{8h}{8} \leq \frac{1}{8} \), so \( h \leq \frac{1}{8} \).

Answer:

\( h \leq \frac{1}{8} \)