Select the values that make the inequality start fraction, a, divided by, minus, 2, end fraction, is less than, minus, 9

Question

−2
a
​
<−9 true. Then write an equivalent inequality, in terms of a,a.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

14 15 16
17 18 19
20 21 22
Equivalent Inequality: a,a

Answer 1

To solve the inequality

\[ \frac{a}{-2} < -9, \]

we can multiply both sides by -2. However, remember that when we multiply or divide by a negative number, we need to flip the inequality sign:

\[ a > -9 \cdot -2. \]

Calculating the right side:

\[ a > 18. \]

So we have the equivalent inequality:

\[ a > 18. \]

In terms of values written in order from least to greatest, the numbers that satisfy this inequality would be:

19, 20, 21, 22, ...

Thus, the answer is:

Equivalent Inequality: \( a > 18 \)