QuestionDecember 14, 2025

Solve the following inequality for h. Write your answer in simplest form. 6h+4leqslant -2h+5 Answer Attempt 1 out of 4 hleqslant vee square Submit Answer

Solve the following inequality for h. Write your answer in simplest form. 6h+4leqslant -2h+5 Answer Attempt 1 out of 4 hleqslant vee square Submit Answer
Solve the following inequality for h.
Write your answer in simplest form.
6h+4leqslant -2h+5
Answer
Attempt 1 out of 4
hleqslant vee square  Submit Answer

Solution
4.5(194 votes)

Answer

h \leq \frac{1}{8} Explanation 1. Collect like terms Add 2h to both sides: 6h + 2h + 4 \leq 5 2. Simplify coefficients 8h + 4 \leq 5 3. Isolate variable term Subtract 4 from both sides: 8h \leq 1 4. Solve for h Divide both sides by 8: h \leq \frac{1}{8}

Explanation

1. Collect like terms<br /> Add $2h$ to both sides: $6h + 2h + 4 \leq 5$<br />2. Simplify coefficients<br /> $8h + 4 \leq 5$<br />3. Isolate variable term<br /> Subtract $4$ from both sides: $8h \leq 1$<br />4. Solve for $h$<br /> Divide both sides by $8$: $h \leq \frac{1}{8}$
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