Solve Linear Inequalities

Match the graph with its inequality.

• 4(b-3) - 6 > –2

• 4(b+2) +4 < –2

• 4(b+3) - 6 ≥ –2

• 4(b+3) -6 ≤ –2

Solve -2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

Graph the solution set of the inequality.

–4n + 1 > –23

• 
• 
• 
• 

Graph the solution set of the inequality.

–4a ≤ –28

• 
• 
• 
• 

When graphing an inequality, which symbols represent a solid dot?

• <, >

• ≤, ≥ 

Solve the linear inequality.

• x < 5

• x > 5

• x < 5

• x > 5

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride. Which inequality best describes how many miles Katie can ride in this taxi?

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Solve the linear inequality.

• x < 0

• x > 0

• x < 3

• x > 3

Solve the linear inequality.

-5x < 15

(Note: When dividing

by a negative,

'flip' the inequality symbol.)

• x > 3

• x < 3

• x > -3

• x < -3