Question

1. select the three statements that are true.

□ a. $-8 > -5$
□ b. $-5 > -6$
□ c. $-8 < -1$
□ d. $-3 > -7$
□ e. $-6 > 7$
□ f. $-5 < -6$

Explanation:

Step1: Analyze Option A

For negative numbers, the larger the absolute value, the smaller the number. The absolute value of \(-8\) is \(| - 8|=8\) and the absolute value of \(-5\) is \(| - 5| = 5\). Since \(8>5\), we have \(-8 < - 5\), so option A is false.

Step2: Analyze Option B

The absolute value of \(-5\) is \(| - 5|=5\) and the absolute value of \(-6\) is \(| - 6| = 6\). Since \(5<6\), we have \(-5>-6\), so option B is true.

Step3: Analyze Option C

The absolute value of \(-8\) is \(| - 8|=8\) and the absolute value of \(-1\) is \(| - 1| = 1\). Since \(8 > 1\), we have \(-8<-1\), so option C is true.

Step4: Analyze Option D

The absolute value of \(-3\) is \(| - 3|=3\) and the absolute value of \(-7\) is \(| - 7| = 7\). Since \(3<7\), we have \(-3>-7\), so option D is true.

Step5: Analyze Option E

Negative numbers are less than positive numbers. \(-6\) is negative and \(7\) is positive, so \(-6 < 7\), option E is false.

Step6: Analyze Option F

The absolute value of \(-5\) is \(| - 5|=5\) and the absolute value of \(-6\) is \(| - 6| = 6\). Since \(5<6\), we have \(-5>-6\), so \(-5 < - 6\) is false, option F is false.

Answer:

B. \(-5 > -6\), C. \(-8 < -1\), D. \(-3 > -7\)