Chapter 1: Q. 397 (page 91)

In the following exercises, fill in $<, >,$ or $=$ for each of the following pairs of numbers.
$(a) - |7| . . . . . . . . . . . . - |- 7| (b) - 8 . . . . . . . . . . . . - |- 8| (c) |- 13| . . . . . . . . . . . - 13 (d) |- 12| . . . . . . . . . . . - (- 12)$

Short Answer

Expert verified

The Complete statements are

$(a) - |7| = - |- 7| (equalsign) (b) - 8 = - |- 8| (equalsign) (c) |- 13| > - 13 (greaterthansign) (d) |- 12| = - (- 12) (equalsign)$

Step by step solution

Step 1. Given information

The given statements are

$(a) - |7| . . . . . . . . . . - |- 7| (b) - 8 . . . . . . . . . . . . . . . - |- 8| (c) |- 13| . . . . . . . . . . . . . . - 13 (d) |- 12| . . . . . . . . . . . . . . - (- 12)$

Part a.Step 1. Fill the blank

$(a) - |7| . . . . . . . . - |- 7| = - 7 . . . . . . . . - 7 \Rightarrow - 7 = - 7$

Hence, $- |7| = - |- 7|$

Part b.Step 1.Fill the blank

$(b) - 8 = - |- 8| = - 8 . . . . . . . . - 8 \Rightarrow - 8 = - 8$

Hence, $- 8 = - |- 8|$

Part c.Step 1.Fill the blank

$(c) |- 13| . . . . . . . . . - 13 = 13 . . . . . . . - 13 \Rightarrow 13 > - 13$

Hence, $|- 13| > - 13 .$

Part d.Step 1.Fill the blank

$(d) |- 12| . . . . . . . - (- 12) = 12 . . . . . . . . . . 12 \Rightarrow 12 = 12$

Hence, $|- 12| = - (- 12) .$

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In the following exercises, fill in $<, >,$ or $=$ for each of the following pairs of numbers.
$(a) - |7| . . . . . . . . . . . . - |- 7| (b) - 8 . . . . . . . . . . . . - |- 8| (c) |- 13| . . . . . . . . . . . - 13 (d) |- 12| . . . . . . . . . . . - (- 12)$

Short Answer

Step by step solution

Step 1. Given information

Part a.Step 1. Fill the blank

Part b.Step 1.Fill the blank

Part c.Step 1.Fill the blank

Part d.Step 1.Fill the blank

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In the following exercises, fill in<,>,or=for each of the following pairs of numbers.a-7............--7b-8............--8c-13...........-13d-12...........--12

Short Answer

Step by step solution

Step 1. Given information

Part a.Step 1. Fill the blank

Part b.Step 1.Fill the blank

Part c.Step 1.Fill the blank

Part d.Step 1.Fill the blank

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

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Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, fill in $<, >,$ or $=$ for each of the following pairs of numbers.
$(a) - |7| . . . . . . . . . . . . - |- 7| (b) - 8 . . . . . . . . . . . . - |- 8| (c) |- 13| . . . . . . . . . . . - 13 (d) |- 12| . . . . . . . . . . . - (- 12)$