Simple Inequalities

Front

What is a simple inequality?

Back

A simple inequality is a mathematical statement that compares two expressions using inequality 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

What is the solution to the inequality k/12 ≤ 7?

Back

Multiply both sides by 12: k ≤ 84.

Front

How do you solve the inequality 5x + 9 > 34?

Back

Subtract 9 from both sides: 5x > 25, then divide by 5: x > 5.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the value is not included in the solution (used for < or >).

Front

What does the solution x ≥ -4 mean?

Back

It means that x can be any number greater than or equal to -4.

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open dot at 3, and shade to the left.

Front

What is the solution to the inequality 8x ≥ -32?

Back

Divide both sides by 8: x ≥ -4.