Question

Which of the following graphs shows the solution set to -2x + 8 is less than 12.

With a detailed explanation!!!

Answer 1

Answer: choice (3)

Open circle at -2; shading to the right of -2

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Work Shown:

-2x+8 < 12

-2x+8-8 < 12-8 ... subtract 8 from both sides

-2x < 4

-2x/(-2) > 4/(-2) ... divide both sides by -2; sign flips

x > -2

To graph this, plot an open circle at -2 on the number line. Shade to the right of this open circle. The open circle means "this value is not included in the shaded solution region". The sign flips in the second to last step because we divided both sides by a negative number.

Answer 2

3. x>-2 see graph

Explanation:

-2x+8 < 12

Subtract 8 from each side

-2x+8 -8 <12-8

-2x <4

Divide by -2 (Remember this flips the inequality)

-2x/-2 > 4/-2

x >-2