Question

Which number line shows the solutions of the inequality 2|x-1|+4<6

Answer 1

0 < x < 2

The number line would have an open circle on the point 0 and another open circle on the point 2 with a bold line in between.

Explanation:

2 |x - 1| + 4 < 6

2 |x - 1| < 2

|x - 1| < 1

x - 1 < 1 so x < 2

or

x - 1 > -1 so x > 0