Solving and Graphing Multi-Step Inequalities

Solve, graph, & write in interval notation:

1. 6(x – 11) – 4x ≤ -72

2. Two times the difference of a number and five is at least eight.

3. -7(k + 4) + 11k ≥ 8k – 2(2k + 1)

4. 2(4r + 3) ≤ 22 + 8(r – 2)

Thurs, 3/14

SWBAT… solve multi-step inequalities Agenda

1. WU (10 min)

Solve, graph, & write in interval notation:

1. 12 – (a + 3) > 4a – (a – 1)

2. 4(3t – 5) + 7 > 8t + 3

3. Two times the difference of a number and five is greater than seven.

Electra needs to rent a truck for a day to move some furniture. The table below shows the rates of the two truck-rental companies near her home.

a.) Write an inequality that Electra can use to find the maximum number of miles that she can drive and spend less with Company A than Company B. Be sure to identify your variable or variables.

b) Find the maximum number of miles that Electra can drive so that she spends less than she would for a truck rented from Company B.

Company Daily rate Per mile charge

A $29.95 $0.87

B $72.00 $0.00