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