Solutions to Inequalities

Front

What does the inequality x ≥ -5 mean?

Back

The value of x is greater than or equal to -5.

Front

How do you represent the inequality 6 > x on a number line?

Back

Shade to the left of 6, indicating that x can be any number less than 6.

Front

What is the correct inequality for the graph that includes -5 and all numbers greater than -5?

Back

x ≥ -5.

Front

If a graph shows an open circle at 11 and shading to the left, what inequality does it represent?

Back

a < 11.

Front

What does the inequality r ≥ -6 indicate about the value of r?

Back

r can be -6 or any number greater than -6.

Front

How do you express the inequality for a number that is less than 11?

Back

a < 11.

Front

What does an open circle on a number line indicate?

Back

The number at that point is not included in the solution.

Front

What does a closed circle on a number line indicate?

Back

The number at that point is included in the solution.

Front

If the inequality is p < 2, how would you represent it on a number line?

Back

Shade to the left of 2, indicating that p can be any number less than 2.

Front

What is the difference between x > 5 and x ≥ 5?

Back

x > 5 does not include 5, while x ≥ 5 includes 5.