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 x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

How do you solve the inequality x - 4 > 5?

Back

Add 4 to both sides: x > 9.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8 (remember to flip the inequality): x > -6.

Front

What does the number line graph representing x ≥ 3 look like?

Back

It includes all numbers greater than or equal to 3, with a closed dot at 3.

Front

What does the number line graph representing x < -4 look like?

Back

It includes all numbers less than -4, with an open dot at -4.

Front

What is the solution set for the inequality x + 2 > 10?

Back

x > 8.

Front

What is the solution set for the inequality 3x ≤ 12?

Back

x ≤ 4.