Solve Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (>, <, ≥, ≤) to show that one expression is greater than, less than, or equal to another.

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

Back

x ≥ -10

Front

When solving inequalities, what happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips (changes direction).

Front

What is the solution to the inequality -2x ≥ 22?

Back

x ≤ -11

Front

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

Back

z < 5

Front

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

Back

m > -2

Front

What is the solution to the inequality x ≤ 6?

Back

The solution set includes all numbers less than or equal to 6.

Front

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

Back

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

Front

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

Back

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