To solve the inequality \(\frac{g}{-5} \geq -9\), we must isolate g. Here's how we do it step by step:
Given inequality: \(\frac{g}{-5} \geq -9\)
To eliminate the fraction, we can multiply each side of the inequality by -5. However, remember that when we multiply or divide an inequality by a negative number, we must reverse the inequality sign:
\(\frac{g}{-5} \times (-5) \leq -9 \times (-5)\)
This simplifies to:
\(g \leq 45\)
Now we have an equivalent inequality in terms of g: \(g \leq 45\).
This means all g values that are less than or equal to 45 make the inequality true. Looking at the numbers you've provided, the correct values that make the inequality true would be:
35, 40, 42, 44, 45
These are all less than or equal to 45. So, the correct values from your list are 35, 40, 42, 44, and 45.
Select the values that make the inequality start fraction, g, divided by, minus, 5, end fraction, ≥, minus, 9
−5
g
≥−9 true. Then write an equivalent inequality, in terms of gg.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 3
35 40 42
44 45 46
48 50 55
1 answer