Plugging in and Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

Add 3 to both sides to get 13 ≥ x, which can be rewritten as x ≤ 13.

Front

What is the solution to the inequality x + 5 < 12?

Back

Subtract 5 from both sides to get x < 7.

Front

When graphing the inequality x > 4, what type of dot is used?

Back

An open dot is used when graphing x > 4.

Front

When graphing the inequality x ≤ 2, what type of dot is used?

Back

A closed dot is used when graphing x ≤ 2.

Front

What is the solution to the inequality 3x ≤ 12?

Back

Divide both sides by 3 to get x ≤ 4.

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Front

What does it mean if a solution to an inequality is a range, like x > 2 and x < 5?

Back

It means that x can take any value between 2 and 5, not including 2 and 5.