Question

select all the correct locations on the image.

which points on the number line are included in the solution set of this inequality

2≤ |x-3| ≤6​

Answer 1

The solution set of this inequality is [-9, 9]

Inequalities is an expression used to show the non equal comparison of two or more variables.

Given the inequality:

2≤ |x-3| ≤6​; hence:

2≤ |x-3|  and |x-3| ≤6​

2≤ (x-3), 2≤ -(x-3) and (x-3) ≤ 6​, -(x - 3) ≤ 6

5 ≤ x, -5 ≥ x and x ≤ 9, x ≥ -9

The solution set of this inequality is [-9, 9]

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