Question

select the values that make the inequality $-q < -6$ true. then write an equivalent inequality, in terms of $q$. (numbers written in order from least to greatest going across.) answer attempt 1 out of 2 -11 -7 -6.1 -6 -5.9 -5 -1 0 1 5 5.9 6 6.1 7 11 equivalent inequality: $q$

Explanation:

Step1: Solve the inequality \(-q < -6\) for \(q\)

To solve for \(q\), we multiply both sides of the inequality by \(-1\). When we multiply or divide an inequality by a negative number, the direction of the inequality sign changes. So, multiplying both sides of \(-q < -6\) by \(-1\) gives us \(q > 6\).

Step2: Identify values greater than 6

Now we check each value:

• \(-11\): Less than 6, so no.
• \(-7\): Less than 6, so no.
• \(-6.1\): Less than 6, so no.
• \(-6\): Less than 6, so no.
• \(-5.9\): Less than 6, so no.
• \(-5\): Less than 6, so no.
• \(-1\): Less than 6, so no.
• \(0\): Less than 6, so no.
• \(1\): Less than 6, so no.
• \(5\): Less than 6, so no.
• \(5.9\): Less than 6, so no.
• \(6\): Not greater than 6, so no.
• \(6.1\): Greater than 6, so yes.
• \(7\): Greater than 6, so yes.
• \(11\): Greater than 6, so yes.

Answer:

Values that make the inequality true: \(6.1\), \(7\), \(11\)

Equivalent Inequality: \(q > 6\)