Solving and Writing Inequalities One Step

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall. Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

• 6 + x ≥ 35

• 6 + x > 35

• 6 + x < 35

• 6 + x ≤ 35

Julie had twins that weighed less than 16 pounds together. If each twin weighed the same amount, which of the following inequalities could be used to find all the possible values of w, the amount each twin weighs?

• 2x ≤ 16

• 2x > 16

• 2x ≥ 16

• 2x < 16

The temperature for the day starts at 37 degrees and rises to at least 60 degrees.

Which of the following inequalities could be used to find all the possible values of t, the amount the temperature could rise?

• 37 + x > 60

• 37 + x ≥ 60

• 37 + x < 60

• 37 + x ≤ 60

Which number line shows the solution set to the inequality below? x - 3 > -3

• A

• B

• C

• D

The school PTA would like to raise a minimum of $3,000 in the cookie dough fundraiser. If each container to cookie dough costs $15, which inequality can be used to find how many containers of cookie dough the school needs to sell?

• 15 + 5 ≥ 3000

• 15x ≤ 3000

• 15 + x ≤ 3000

• 15x ≥ 3000

Monica wants to spend at most $40 at the county fair. Entrance to the fair costs $15. She can spend d dollars on other things at the fair. Which inequality can be used to find the possible values of d?

• d − 15 > 40

• d − 15 < 40

• d + 15 ≥ 40

• d + 15 ≤ 40

You start a dog walking business. Each dog earns you $8. Which of the following inequalities could help you find all the possible values of d, the amount of dogs you will need to walk, to have more than $32?

What inequality does the number line graph represent?

• x ≤ -4

• x ≥ -4

• x < -4

• x < 4

x − 4 ≤ 6

• x ≤ 10

• x ≥ 10 

• x ≥ 2

• x ≤ 2

y + 7 ≥ 12

• y ≥ 5

• y ≤ 5 

• y ≥ 19 

• y ≤ 19