solving one-step inequalities by multiplying or dividing

PRE-ALGEBRA LESSON 2-10PRE-ALGEBRA LESSON 2-10

(For help, go to Lesson 2-6.)

Solve each equation.

1. 6x = 24 2. 63 = –7v

3. = 10 4. = 48 t6

x–2

Check Skills You’ll Need

2-10

Solving One-Step Inequalities by Multiplying or DividingSolving One-Step Inequalities by Multiplying or Dividing


Solutions

1. 2.

3. 4.

–2 = –2(10)

6x = 24

x = 4

= 10

x = –20

= 48

t = 288

6 = 48(6)

63 = –7v

–9 = v

x–2

6x6

246

63–7

–7v–7

x–2

==

t6

t6

2-10



A 1-ton truck has the ability to haul 1 ton, or 2,000 lb.

At most, how many television sets can the truck carry if each

TV set weighs 225 lb?

225x 2,000<–

Let x = number of televisions.

Inequality

Wordsnumber oftelevisions

225 lb 2,000 lbtimesis less thanor equal to

x • 225 2,000<–

2-10



(continued)

Divide each side by 225.<–2,000225

225x225

x 8.8 Simplify. Round the answer down to find a wholenumber of television sets.

<–

At most, the truck can carry 8 television sets.

Check Is the answer reasonable? The total weight of 8 television sets is 8(225) = 1,800 lb, which is less than 2,000 lb but so close that another television set could not be carried. The answer is reasonable.

Quick Check

2-10



Solve –2.z–8

<–

–2z

–8<–

Multiply each side by –8 and reverse the inequality symbol.

–8(–2)z

–8–8 >–

Simplify.z 16>–

2-10


Quick Check

>–

Solve each inequality.

1. 3x –27 2. –5w > 15

3. y 4. 0

5. 4f > –12

–x5

<–14

12

<–


w < –3

x 0>–

x –9>–

f > –3

y 2<–

2-10


solving one-step inequalities by multiplying or dividing

Documents