Solving Linear Inequalities

• 3.5

• -11

• 2

• 4

• 
• 
• 
• 

Write the linear inequality of the graph.

​Write the linear inequality of the graph.

Write the linear inequality of the graph.

Adrian works in New York and makes $42 per hour. If he wants to make at least $378 a day, how many hours does he need to work per day? Write an inequality that could be used solve this problem.

Yellow cab charges a $1.75 flat fee in addition to $0.65 per mile. Hugo can spend no more than $10 for the cab ride. How many miles can he travel in the taxi? Write an inequality you could use to solve this problem. Let m be the number of miles traveled.

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

-3 < x + 6 ≤ 5

• -9< x  or   x≤ -1

• All Real numbers

• -9< x   and   x≤ -1

• -10< x   and   x≤ -7

Which is a solution of
5(v + 3) - 10v > -10

• v < 5

• v > 5

• v > -5

• v < -5