Solve the inequality. Graph the solution set and write it in interval notation.
-2x≤-30
To solve the inequality, we need to isolate the variable x by dividing both sides of the inequality by -2. However, when we divide by a negative number, we need to flip the direction of the inequality sign. Thus, we have:
x ≥ -30 / -2
x ≥ 15
To graph the solution set, we draw a number line and mark a closed circle at the point 15. Since the inequality is greater than or equal to, we shade to the right of the closed circle.
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In interval notation, we express the solution set as [15, ∞).