Question

Which graph shows the solution to the inequality |x+3| ≥ 2?

Answer 1

Answer:

2nd number line

Step-by-step explanation:

When there is an absolute value inequality of the form  |x+a| ≥ b,

We can say that the solution set (in a number line) would be:

• we take the point x = -a
• then we go b units in both directions (left and right)
• start from those 2 points and draw arrows in both directions (left & right)

Keeping these points in mind,

|x+3| ≥ 2

we start from x = -3

we go 2 units left and right, so we arrive at x = -5 and x = -1

then we draw arrows to both sides

looking at the choices, we see 2nd answer choices (graph) portrays it correctly.