Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

How do you solve the inequality x + 3 < 10?

Back

Subtract 3 from both sides: x < 7.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality x < 5?

Back

Draw a number line, place an open circle at 5, and shade to the left.

Front

How do you graph the inequality x ≥ -2?

Back

Draw a number line, place a closed circle at -2, and shade to the right.

Front

What is the solution to the inequality 4x - 8 > 0?

Back

Add 8 to both sides: 4x > 8; then divide by 4: x > 2.

Front

What is the solution to the inequality 3x + 1 ≤ 10?

Back

Subtract 1 from both sides: 3x ≤ 9; then divide by 3: x ≤ 3.