Solving/Interpreting Linear Inequalities in One Variable One Step

Jarrett runs a factory that manufactures Ticonderoga pencils. All pencils should measure 7.80 inches long, but can vary by up to 0.005 inches and still fit in the box. What inequality should Jarrett use to find all failing measurements?

Solve the absolute value inequality: |2x + 5| < 3.

• -5/2 < x < -1/2

• -5/2 < x < 0

• -5/2 < x < 1/2

• -5/2 < x < -1/2

|2x| ≤ 14; Is this an AND or an OR?

• AND

• OR

Solve for n.

• n ≥ 10 and n ≤ -6

• n < 10 and n > -6

• n ≥ 10 or n ≤ -6

• n > 10 or n < -6

7x - 3x - 8 <= 24

• 8

• -8

• 3.2

• 4

A bike rental shop has two plans for a cyclist to choose from.

a. For how long should a cyclist rent a bike, in order for Plan B to be cheaper?

Distribute and solve:

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Solve:
12 - 3p ≥ -5 - 3(p - 8)

• p ≥ -4

• all real numbers

• p ≥ -1

• no solution

Mathematical Equivalence

ON

S + 5 > 3

S ?

• > -2

• > 8

• -2

• 8