Solving One-Step 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 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 (n/3) > -20?

Back

n > -60.

Front

How do you isolate a variable in an inequality?

Back

You perform the same operations on both sides of the inequality, just like in equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

What is the solution to the inequality x - 4 ≤ 6?

Back

x ≤ 10.

Front

What does the symbol '≤' mean?

Back

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

Front

What is the solution to the inequality 26 + y ≤ -18?

Back

y ≤ -44.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

What is the solution to the inequality 8x < 48?

Back

x < 6.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign reverses.