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

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number is included in the solution (used for ≤ and ≥).

Front

What does an open dot represent when graphing an inequality?

Back

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

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

What is the solution to the inequality k < 3?

Back

The solution is all values of k that are less than 3.

Front

What is the first step in solving the inequality 2x - 4 ≥ 10?

Back

Add 4 to both sides: 2x ≥ 14.