Solving and Graphing Inequalities

Front

What does the inequality c > 250 represent in a real-world context?

Back

It means that the number of boxes of cookies sold by my sister is greater than 250.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides to get x ≤ 13.

Front

What symbol do you use for an open dot when graphing inequalities?

Back

Use < or > for an open dot.

Front

Solve the inequality -3x + 1 ≥ -8. What is the value of x?

Back

x ≤ 3.

Front

What does the inequality x > 8 indicate about the number of pizza slices eaten?

Back

It indicates that more than 8 slices of pizza were eaten.

Front

What is the difference between ≤ and < when graphing inequalities?

Back

≤ includes the endpoint (closed dot), while < does not (open dot).

Front

How do you represent the solution to the inequality x ≥ 5 on a number line?

Back

Draw a closed dot at 5 and shade to the right.

Front

What does the inequality x < 0 signify?

Back

It signifies that x is any negative number.

Front

How do you graph the inequality x > 2?

Back

Draw an open dot at 2 and shade to the right.

Front

What is the solution to the inequality 4x - 8 < 0?

Back

x < 2.