Solve and graph this inequality:
-2x+8+5x\ge-10
You will need to move your point below to earn full credit. 👇
Write your solved inequality here:
Should the point be open or closed?
Where is the shading?
To solve the inequality, we simplify the left side of the equation:
-2x + 8 + 5x ≥ -10
Combining like terms, we have:
3x + 8 ≥ -10
Next, we isolate the variable by subtracting 8 from both sides:
3x + 8 - 8 ≥ -10 - 8
Simplifying further:
3x ≥ -18
Finally, we divide both sides of the inequality by 3:
(3x)/3 ≥ (-18)/3
x ≥ -6
Therefore, the solved inequality is x ≥ -6.
To graph the inequality on a number line, we draw a closed circle at -6 since the inequality includes an equal sign. Then, we shade to the right of -6 since all values greater than or equal to -6 make the inequality true.
Graphically, it would look like this:
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 ...
●=====> (shading to the right)