The modulus of a number. Equations and inequalities with a modulus
Answers are for parents and teachers.
1
Solve |4x + 1| = 7.
x = 3/2 or x = -2
2
Solve |x + 1| ≤ 4.
-5 ≤ x ≤ 3
3
Solve |2x| > 6.
x < -3 or x > 3
4
Compute |-4| · |-3| - |5|.
7
5
On the number line, at what distance from 1 are the roots of |x - 1| = 3?
Both roots are 3 units from 1: x = 4 and x = -2.