4.3: Writing Inequalities with Variables on Both Sides

Five less than two times a number,x, is less than three times the number,x, plus seven.

(Do not put spaces when typing in your answer.)

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which of the following represents the inequality below?

Six more than three times a number, x, is no less than 4.5 times the number, x, plus three.

• 3x+6 > 4.5x+3

• 3x+6 < 4.5x+3

• 3x+6 $\ge$  4.5x+3

• 3x+6 $\le$  4.5x+3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Plant A is 4.7 centimeters tall and growing at the rate of 3.5 centimeters a month. Plant B is 5.2 centimeters tall and growing at the rate of 2.5 centimeters a month. Write an inequality whose solution represents when Plant A will exceed the height of Plant B.

(Do not put spaces in your answer.)

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Marquetta sells hand-knit clothes at craft markets. At the market in Dallas she is charged a fee of $150 for a booth and is able to sell shirts for $14 each. At the market in Portland she is charged a fee of $350 but is able to sell sweaters for $44 each. Write an inequality that represents the possible number of clothing items she needs to sell in order to make more money in Portland.

(Do not put spaces in your answer.)

(a)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Miguel has $8 in his bank account and saves $1 a week. Jesse has $3 in his bank account but saves $2 a week. Which of the following is the inequality whose solution represents when Miguel has less than Jess in his savings?

• x+8<2x+3

• 8x>6x

• 8x+1<3x+2

• 2x+3<x=8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

At Floor Clean, a buffer rents for $7 an hour plus a fee of $5. At EZ-Clean, it rents for $5 an hour plus a fee of $10. Which of the following is an inequality whose solution represents when it is cheaper to rent from EZ Clean?

• 5x+7<10x+5

• 5x+7>10x+5

• 7x+5<5x+10

• 7x+5>5x+10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

A rental car agency has 2 car rental plans.

Plan A: $25 a day plus a fee of $68

Plan B: $35 a day plus a fee of $32

Which Plan is a better deal if you rent a car for 1 day?

• Plan A

• Plan B

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

A rental car agency has 2 car rental plans.

Plan A: $25 a day plus a fee of $68

Plan B: $35 a day plus a fee of $32

Which Plan is a better deal if you rent a car for 2 weeks?

• Plan A

• Plan B

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Which of the following represents the inequality below?

Eight less than two times a number, x, is no more than 5.5 times the number, x, plus six.

• 8-2x $\le$ 5.5x+6

• 2x-8 $\le$ 5.5x+6

• 8-2x < 5.5x+6

• 2x-8 < 5.5x+6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Which of the following represents the inequality below?

Two more than four times a number is at most six less than three times the number.

• 4x+2 > 6-3x

• 4x+2 $\le$ 6-3x

• 4x+2 < 3x-6

• 4x+2 $\le$ 3x-6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3