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 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

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

Back

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

Front

What is the solution to the inequality 8y < -40?

Back

y < -5.

Front

How do you represent a range of values in an inequality?

Back

You can represent a range of values using compound inequalities, such as 2 ≤ x ≤ 8.

Front

What is the solution to the inequality 5z - 2 - 2z < 13?

Back

z < 5.

Front

What does the inequality -4x + 14 ≤ 54 represent?

Back

It represents all values of x that satisfy the condition when simplified.

Front

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

Back

x ≤ 13.

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

What does the symbol '≥' mean in an inequality?

Back

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