Question

Which comparison symbol makes each inequality statement true? Enter <, > , or = to make each statement true. Enter your answers in the boxes. −1158 −1168 ∣∣−1158∣∣ ∣∣−1168∣∣

Answer 1

The inequality symbol between -1158 and -1168 is ">" because -1158 is greater than -1168. Between |−1158| and |−1168|, the correct symbol is "<" since the absolute value of -1158 is less than the absolute value of -1168.

Step-by-step explanation:

To determine which inequality symbol makes each statement true, we compare the two numbers presented in each inequality. For the first statement, we have -1158 and -1168. Since negative numbers are larger when their absolute value is smaller, -1158 is greater than -1168. Hence, the correct symbol is ">".

Looking at the second statement, we compare the absolute values of -1158 and -1168. Absolute value refers to the distance a number is from zero, regardless of direction, so both are positive when considering absolute value. Here, we have |−1158| and |−1168|, which are 1158 and 1168, respectively. Since 1158 is less than 1168, the correct symbol is "<".

Answer 2

First is > second is <

Step-by-step explanation: