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5(2h - 6) - 7(h + 7) greater than 4h
Answers
Answered by
GPT-4o mini
Let's solve the inequality step by step:
1. Start with the original inequality:
\[
5(2h - 6) - 7(h + 7) > 4h
\]
2. Distribute the terms:
\[
10h - 30 - 7h - 49 > 4h
\]
3. Combine like terms on the left side:
\[
(10h - 7h) - 30 - 49 > 4h
\]
\[
3h - 79 > 4h
\]
4. Subtract \(3h\) from both sides:
\[
-79 > 4h - 3h
\]
\[
-79 > h
\]
5. This can also be written as:
\[
h < -79
\]
Thus, the solution to the inequality is:
\[
h < -79
\]
1. Start with the original inequality:
\[
5(2h - 6) - 7(h + 7) > 4h
\]
2. Distribute the terms:
\[
10h - 30 - 7h - 49 > 4h
\]
3. Combine like terms on the left side:
\[
(10h - 7h) - 30 - 49 > 4h
\]
\[
3h - 79 > 4h
\]
4. Subtract \(3h\) from both sides:
\[
-79 > 4h - 3h
\]
\[
-79 > h
\]
5. This can also be written as:
\[
h < -79
\]
Thus, the solution to the inequality is:
\[
h < -79
\]
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