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 it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: -2x ≥ 22

Back

x ≤ -11

Front

What is the solution to the inequality: -5m < 10?

Back

m > -2

Front

Solve the inequality: x + 5 ≤ 13

Back

x ≤ 8

Front

What is the solution to the inequality: 10 ≥ x - 3?

Back

x ≤ 13

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

If x < 5, what can we say about x?

Back

x is any number less than 5.