The solution set of the inequality is x ≤ - 4. The graph of inequality is shown below and the points x = - 4, x = - 12, x = - 42 are part of the solution set.
In this question we must use algebraic axioms and theorems to solve an inequality and graph the solution set with the help of a graphing tool. Now we proceed to present the procedure to solve for x:
7 - 2 · x ≥ 15
7 - 15 ≥ 2 · x
2 · x ≤ - 8
x ≤ - 4
Now we present the graph of the inequality. The points x = - 4, x = - 12, x = - 42 are part of the solution set.
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