Question

select the values that make the inequality $-b < -8$ true. then write an equivalent inequality, in terms of $b$. (numbers written in order from least to greatest going across.) answer attempt 1 out of 2 -13 -9 -8.1 -8 -7.9 -7 -3 0 3 7 7.9 8 8.1 9 13 equivalent inequality: $b$

Explanation:

Step1: Solve the inequality \(-b < -8\)

To solve for \(b\), 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 by \(-1\) gives us \(b > 8\).

Step2: Identify values greater than 8

Now we check each value:

• \(-13\): Less than 8, no.
• \(-9\): Less than 8, no.
• \(-8.1\): Less than 8, no.
• \(-8\): Less than 8, no.
• \(-7.9\): Less than 8, no.
• \(-7\): Less than 8, no.
• \(-3\): Less than 8, no.
• \(0\): Less than 8, no.
• \(3\): Less than 8, no.
• \(7\): Less than 8, no.
• \(7.9\): Less than 8, no.
• \(8\): Not greater than 8, no.
• \(8.1\): Greater than 8, yes.
• \(9\): Greater than 8, yes.
• \(13\): Greater than 8, yes.

Answer:

Values that make the inequality true: \(8.1\), \(9\), \(13\)
Equivalent Inequality: \(b > 8\)