Solving Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' 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 must flip the sign when multiplying or dividing both sides of an inequality by a negative number.

Front

Solve the inequality: 3x ≥ 12. What is x?

Back

x ≥ 4.

Front

Solve the inequality: r - 14 ≥ 17. What is r?

Back

r ≥ 31.

Front

Solve the inequality: -3x ≥ 12. What is x?

Back

x ≤ -4.

Front

Solve the inequality: y - 13 ≤ -15. What is y?

Back

y ≤ -2.

Front

Solve the inequality: 22 < 6c + 4. What is c?

Back

c > 3.

Front

What is the first step in solving the inequality 5x + 3 < 18?

Back

Subtract 3 from both sides: 5x < 15.