Question

Select the values that make the inequality minus, q, ≤, minus, 6−q≤−6 true.

Then write an equivalent inequality, in terms of qq.
(Numbers written in order from least to greatest going across.)

Answer 1

The values of q that satisfy the inequality -q ≤ -6 are all q less than or equal to 6. The equivalent inequality is q ≥ 6.

Step-by-step explanation:

The question involves finding the values of q that satisfy the inequality -q ≤ -6. To solve this, we can add q to both sides of the inequality to get 0 ≤ 6, which means that the inequality will be true for any value of q that is less than or equal to 6. Therefore, the equivalent inequality in terms of q is q ≥ 6.

An important concept in solving inequalities is that when both sides of an inequality are multiplied or divided by a negative number, the direction of the inequality sign must be reversed.

This property is vital in correctly solving inequalities and understanding how they work.