Solving 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?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less 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

When graphing the inequality x < 5, what type of dot is used?

Back

An open dot is used.

Front

When graphing the inequality x ≥ 3, what type of dot is used?

Back

A closed dot is used.

Front

What is the solution to the inequality 6 > x?

Back

x < 6.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality means to represent the solutions of the inequality on a number line.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.