Select the values that make the inequality minus, 2, a, is greater than, 44−2a>44 true. Then write an equivalent inequality, in terms of a,a.

Question

(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

-32 -27 -25
-23 -22 -21
-19 -17 -12
Equivalent Inequality: a,a

Answer 1

To solve the inequality \( -2a > 44 \), we can follow these steps:

1. Divide both sides of the inequality by -2. Remember that when you divide or multiply an inequality by a negative number, you must flip the inequality sign: \[ a < -22 \]

Next, we need to pick values from the list provided that make the inequality \( a < -22 \) true.

The values from the selection you provided are:

-32, -27, -25 -23, -22, -21 -19, -17, -12

Now, let's compare these values to -22:

• -32: Less than -22 (true)
• -27: Less than -22 (true)
• -25: Less than -22 (true)
• -23: Less than -22 (true)
• -22: Equal to -22 (not true)
• -21: Greater than -22 (not true)
• -19: Greater than -22 (not true)
• -17: Greater than -22 (not true)
• -12: Greater than -22 (not true)

The values that satisfy the inequality \( a < -22 \) are: -32, -27, -25, and -23.

Thus, the equivalent inequality is: \[ a < -22 \]

Answer: Values: -32, -27, -25, -23 Equivalent Inequality: \( a < -22 \)