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Given the following number line, select all of the true statements.​

Given the following number line, select all of the true statements.​-example-1

2 Answers

3 votes

Answer: a<c

| a | > | b |

Explanation:

User Gold
by
7.4k points
6 votes

Based on the given number line, the true statements are:

lal > |b|

a < c

c > b

0 < c

How to determine the true statements

Based on the given information, evaluate the statements:

lal > |b|

This statement is true. As "a" and "b" are both to the left of 0 on the number line, their absolute values will be greater than the value of "b" itself.

a < c

This statement is true. Since "a" is to the left of 0 and "c" is to the right of 0, "a" will be less than "c" on the number line.

c > b

This statement is true. As "c" is to the right of 0 and "b" is to the left of 0, "c" will be greater than "b" on the number line.

a > b

This statement false because a is to the left of b and since it is not absolute value, b is greater than a.

0 < c

This statement is true. "c" is to the right of 0 on the number line, so it is greater than 0.

b > 0

This statement is false. "b" is to the left of 0 on the number line, so it is less than 0, or in other words, 0 is greater than "b".

Therefore, the true statements are:

lal > |b|

a < c

c > b

0 < c

User Froehli
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