Question

Which number line shows the solution set for lal = 6?

O
O
O
←
-8 -6 -4 -2 0 2 4 6 8
E
-4 -3 -2 -1 0 1 2
--8--6
-8 -6 -4 -2 0
-4 -2 0 2 4 6 8
N.
2
43
4
4
6
8

Answer 1

The solution set for the equation |a| = 6 is represented on a number line with points at 6 and -6, as the absolute value indicates the distance from zero without regard to direction.

Step-by-step explanation:

The question asks which number line represents the solution set for the equation |a| = 6.

The absolute value of a number is its distance from zero on the number line, regardless of direction, which means the equation |a| = 6 has two solutions: a = 6 and a = -6.

Therefore, the correct number line should have points at both 6 and -6.

Hence, a number line marked with both -6 and 6 on the same line would show the solution set for |a| = 6.