Select the values that make the inequality q/-2 ≤-7 true. Then write an equivalent inequality, in terms of qq. (Numbers written in order from least to greatest going across.) Answer Attempt 1 out of 2 10 11 12 13 14 15 16 17 18
To solve the inequality q/-2 ≤ -7, we need to multiply both sides of the inequality by -2, since we want to isolate q. However, when we multiply or divide both sides of an inequality by a negative number, we need to reverse the inequality sign.
Multiplying both sides by -2, we get q ≥ -7(-2), which simplifies to q ≥ 14.
To find equivalent inequality in terms of qq, we square both sides of the inequality. This needs to be done with caution because squaring both sides can introduce extraneous solutions.
Squaring q ≥ 14, we get q^2 ≥ 196.
Thus, the correct answer from the given options is 14.