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