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Sagot :
Answer:
h > -11
Step-by-step explanation:
Given the inequality expression, -85 < 5h - 8 + 2h:
The goal is to isolate the variable in order to solve for h.
Start by adding 8 to both sides and combine like terms:
-85 + 8 < 5h - 8 + 8 + 2h
-77 < 7h
Divide both sides by 7 to isolate h:
[tex]\frac{-77}{7} < \frac{7h}{7}[/tex]
-11 < h or h > -11.
Answer:
h < -11
Step-by-step explanation:
-85 < 5h - 8 + 2h
First, we combine like terms:
-85 < 7h - 8
Next, we reorder the equation to make it easier for the next step.
7h - 8 < -85
Now, to isolate 7h, we transpose -8 to the other side of the less than sign.
Always remember that when we transpose something, wheter it's a number or variable, you must always switch it from negative to positive or positive to negative.
-8 is negative, so when it crosses the less-than sign, it turns into a +8.
So we do:
7h < -85 + 8
We combine like terms:
7h < -77
Now we simplify:
h < -11
Therefore, h < -11 in the equation -85 < 5h - 8 + 2h.
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