Question

use the correct inequality for each of the numbers.
41 ____ 2
-27 ____ 41
-33 ____ -13
-15 ____ -31

Explanation:

Step1: Compare 41 and 2

41 is a positive integer greater than 2, so we use the greater than symbol ($>$).
$41 > 2$

Step2: Compare -27 and 41

Negative numbers are less than positive numbers, so we use the less than symbol ($<$).
$-27 < 41$

Step3: Compare -33 and -13

For negative numbers, the one with the larger absolute value is smaller. The absolute value of -33 is 33, and the absolute value of -13 is 13. Since 33 > 13, -33 is smaller than -13, so we use the less than symbol ($<$).
$-33 < -13$

Step4: Compare -15 and -31

The absolute value of -15 is 15, and the absolute value of -31 is 31. Since 15 < 31, -15 is greater than -31, so we use the greater than symbol ($>$).
$-15 > -31$

Answer:

$41 > 2$, $-27 < 41$, $-33 < -13$, $-15 > -31$