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

'≤' means 'less than or equal to'. It indicates that one value is either less than or equal to another.

Front

How do you solve the inequality y - 13 ≤ -15?

Back

Add 13 to both sides: y ≤ -2.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

What does the symbol '>' mean?

Back

'>' means 'greater than'. It indicates that one value is larger than another.

Front

Write an inequality for the maximum speed limit of 55 mph.

Back

s ≤ 55, where s represents the speed.

Front

What is the solution to the inequality 3x + 4 < 10?

Back

Subtract 4 from both sides: 3x < 6. Then divide by 3: x < 2.

Front

How do you graph the inequality x > 5?

Back

Draw a number line, place an open circle on 5, and shade to the right.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that one value is either greater than or equal to another.

Front

Solve the inequality -2x + 3 ≥ 7.

Back

Subtract 3 from both sides: -2x ≥ 4. Then divide by -2 (remember to flip the inequality): x ≤ -2.