Reviewing solving and graphing 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 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.

Front

What is the solution to the inequality -2(x + 2) < 14?

Back

x > -9.

Front

What does the graph of x < 4 look like?

Back

A number line with an open circle at 4 and shading to the left.

Front

What does the graph of x ≥ 3 look like?

Back

A number line with a closed circle at 3 and shading to the right.

Front

How do you represent the inequality 11 ≤ a on a number line?

Back

A closed circle at 11 with shading to the right.

Front

What is the solution to the inequality x > -5?

Back

All numbers greater than -5.

Front

What does the inequality x < -4 represent?

Back

All numbers less than -4.