Question

1. which set of integers is listed in order from least to greatest?

5, 8, -9, -10
-5, -3, -2, 7
-5, 4, -2, -7
5, 4, 2, -1

1. what is the area of a rectangle that is 8 inches wide and 12 inches long

96 inches²
20 inches²
40 inches²
16 inches²

Explanation:

Step1: Analyze the first option

Compare the integers \(5, 8, -9, -10\). Negative integers are less than positive integers. Among negative integers, \(-10<-9\). So the correct order should be \(-10,-9,5,8\), not \(5,8, - 9,-10\).

Step2: Analyze the second option

For the set \(-5,-3,-2,7\). When comparing negative integers, \(-5 < - 3\) (since \(\vert-5\vert = 5\) and \(\vert-3\vert=3\) and for negative \(a,b\), if \(\vert a\vert>\vert b\vert\), then \(a < b\)). Also, all negative integers are less than positive integers. So \(-5<-3<-2<7\).

Step3: Analyze the third option

For the set \(-5,4,-2,-7\). Comparing negative integers: \(-7<-5<-2\). The correct order should be \(-7,-5,-2,4\), not \(-5,4,-2,-7\).

Step4: Analyze the fourth option

For the set \(5,4,2,-1\). Negative integers are less than positive integers. The correct order should be \(-1,2,4,5\), not \(5,4,2,-1\).

Answer:

\(-5, - 3,-2,7\) (the second option)