Which graph below bests represent the solution set for `-2x<=3x+10`?
The graph below best represents the solution set for `-2x<=3x+10`:
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Explanation:
To find the solution set for `-2x<=3x+10`, we can first simplify the inequality by adding 2x to both sides:
0 <= 5x + 10
Next, we can subtract 10 from both sides:
-10 <= 5x
Finally, we can divide both sides by 5:
-2 <= x
This inequality represents all values of x that are greater than or equal to -2.
The graph shown above represents this solution set. It is a number line with a filled-in circle at -2 and an arrow pointing to the right. This indicates that all values of x greater than or equal to -2 are solutions to the inequality.