Chapter 5: Linear Inequalities

Graph the solution of q – 27 < -19.

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Solve c + 49  $\le$   -16.

• $c\le33$

• $c\le-65$

• $c\le-33$

• $c\le65$

In order to save for a new computer and printer, Joseph has a summer job working at the marina where he earns $8.50 per hour. His weekly earnings are listed in the table below. The computer he wants costs $1575, and the printer costs $225. Joseph has to earn at least how much more money, m, in order to be able to afford the computer and printer?

• $m\le712.00$

• $m\ge712.00$

• $m\ge1800.00$

• $m>712.00$

What is the solution to the sentence ''A number decreased by -5 is at least 7''?

• $x\left|x\ge12\right|$
  

• $x\left|x<2\right|$

• $x\left|x>2\right|$

• $x\left|x\ge2\right|$

Solve –15k > -120.

• k > 8

• k < -8

• k > -8

• k < 8

Write and solve an inequality for the following: three-fourths of a number is greater than or equal to –48.

• $x\le-64$
  

• $x\ge-36$

• $x\ge-64$

• $x\le-36$

Solve 22p > 198.

• p < 9

• p > 9

• p > 4,356

• p < 4,356

 $Solve\ -\frac{2}{9}b>-12$  .

• b < 54

• b > 54

• b < 8/4

• b > 8/3

Solve 16(t – 1) + 10 > 8(t + 2) + 4(t – 1) + 4t.

•  $\phi$  

• t < 1

• t > -1

• t > 1

Solve –4(10 – n) – 6n > 8(n + 3) – 7n + 2.

• n > -22

• n < -6

• n < -22

• n > -6