Question

-85<5h-8+2h solve for h

Answer 1

h < -11

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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Answer 2

h > -11

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:

`(-77)/(7) < (7h)/(7)`

-11 < h or h > -11.