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

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

When solving inequalities, does the sign flip when multiplying or dividing by a negative number?

Back

Yes, the sign flips when multiplying or dividing by a negative number.

Front

Solve the inequality 5z - 2 - 2z < 13.

Back

z < 5.

Front

What does the inequality x ≥ -5 represent on a number line?

Back

It represents all numbers greater than or equal to -5.

Front

What is the solution to the inequality 3(x - 2) < 2(x + 9)?

Back

x < 24.

Front

What is the first step in solving the inequality 8y < -40?

Back

Divide both sides by 8 to isolate y.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that satisfy the inequality.