Which sign makes the statement true? −√18 ? −7 1/5

To determine which sign makes the statement true, we need to calculate the value of −√18 and compare it to −7 1/5.

First, let’s simplify −√18:

1. √18 can be simplified to √(9 * 2) = 3√2.
2. Therefore, −√18 = −3√2.

Now we need to approximate the value of −3√2:

– Since √2 is approximately 1.414, we have:

– −3√2 ≈ −3 * 1.414 ≈ −4.242.

Next, let’s convert −7 1/5 to an improper fraction or decimal:

– −7 1/5 = −7 – 0.2 = −7.2.

Now we compare:

– −4.242 is greater than −7.2.

Thus, the statement −√18 ? −7 1/5 can be rewritten with the greater-than sign:

−√18 > −7 1/5.

So, the correct sign is >.