Question

Which graph shows the solution to the inequality -3x-7<20

Answer 1

Answer:

$x>-9$

Step-by-step explanation:

$-3x-7$

Solve the inequality for x

To get rid of -7, add 7 on both sides

$-3x-7$

$-3x$

now we divide both sides by -3. Whenever we divide by any negative number we flip the inequality sign

$x>-9$

We use number line

x is greater than -9. So we shade the number line to the right of -9

Use open circle at -9 and shade to the right.

Answer 2

Answer:

-9 < x

Step-by-step explanation:

-3x - 7 < 20

+ 7 + 7

___________

-3x < 27

___ ___

-3 -3

x > -9 [Whenever you divide or multiply by a negative, reverse the inequality symbol.]

The above answer is written in reverse, which is the exact same result.

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