Step-by-step solution-:
The given inequality is:
\frac{q}{2}+17\leq15Multiply by 2 on both sides:
\frac{q}{2}\times2+17\times 2\leq15\times2Reduce the fraction and multiply the number:
\frac{q}{\cancel{2}}\times \cancel{2}+34\leq 30After solving we get:
q+34\leq30 \implies q\leq30-34
Subtract the number.
q\leq30-34 \implies q\leq-4
Plot point -4 on the number line with a closed circle since it is included in the solution.
Shade the region to the left of q=-4 to draw the inequality q<=-4.
The graph of q<=-4 is shown above.
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