Solving Inequalities

Front

What is an inequality?

Back

An 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 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

When solving an inequality, do you flip the sign when multiplying or dividing by a negative number?

Back

Yes, you flip the sign when multiplying or dividing both sides of an inequality by a negative number.

Front

Solve the inequality: 8y < -40. What is y?

Back

y < -5.

Front

What is the solution to the inequality: -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

Solve the inequality: 5z - 2 - 2z < 13. What is z?

Back

z < 5.

Front

What is the solution to the inequality: -3x + 2 ≤ 22?

Back

x ≥ -7.