Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you solve the inequality 8x ≥ -32?

Back

Divide both sides by 8 to get x ≥ -4.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides to get -4x ≤ 40, then divide by -4 (remember to flip the inequality) to get x ≥ -10.

Front

What type of dot is used when graphing x ≤ 5?

Back

A closed dot is used when graphing x ≤ 5.

Front

What type of dot is used when graphing x < 5?

Back

An open dot is used when graphing x < 5.

Front

If x > -28, what does this mean on a number line?

Back

It means that x can be any number greater than -28, and is represented by an open dot at -28 and shading to the right.