Question

Which graph represents the solution |x + 1| – 3 < 4

Answer 1

Remark

You need to solve the absolute value equation.

abs(x + 1) - 3 < 4 Add 3 to both sides.

abs(x +1) < 4 + 3

abs(x+1) < 7

This can have to results.

Result One

x + 1 < 7 Subtract 1 from both sides

x < 6

Result Two

x + 1 > - 7 The sign switches. Try two values to convince yourself. x = - 7 and x = - 9

x > - 8

The answer is B