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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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?
1 answer