Inequalities

Write an inequality for the situation:

The maximum speed on the city streets in New is 30 mph. Let x = the speed of a car

• x is greater than 30

• x < 30

• I have no idea, get me outta here!

When would you need to flip the inequality symbol?

• when dividing by a positive

• no idea :(

• when multiplying by a negative

• when multiplying and dividing by a negative.

Answer explanation

Only when multiplying or dividing by a negative answer

Write the inequality for the following verbal statement:

8 times a number decreased by 4 is no less than 13

• No idea :(

Solve the inequality:

14 + x > 35

• X < 21

• x > 21

• x < 90

Sheila had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 500 - 25x ≥ 200

• 500 - 25x ≤ 200

• 500 + 25x ≥ 200

• 200 + 25x ≥ 500

Given the graph, write the inequality.

• x > 18

• 0 < x < 18

Given the graph, write the inequality.

• x < -4 or X > 16

Given the graph, write the inequality.