Solve and graph this inequality: −2x+8+5x​≥−10 Write your solved inequality here: Should the point be open or closed? Where is the shading?

Answer 1

To solve the inequality, we need to combine like terms:

-2x + 8 + 5x ≥ -10

(5x - 2x) + 8 ≥ -10

3x + 8 ≥ -10

Next, we subtract 8 from both sides:

3x + 8 - 8 ≥ -10 - 8

3x ≥ -18

Then, we divide by 3:

(3x)/3 ≥ (-18)/3

x ≥ -6

The solved inequality is x ≥ -6.

To graph this inequality, we plot a closed point at -6 on a number line and shade to the right of this point, as the inequality is x ≥ -6. The point is closed since the inequality includes equality (x = -6).

The graph would look like this:
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