One and Two Step 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 first step in solving the inequality 2x + 7 > 15?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

What is the solution to the inequality -3x ≥ 12?

Back

x ≤ -4, after dividing both sides by -3 and flipping the inequality sign.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Front

What is the solution set for the inequality x + 5 < 10?

Back

x < 5, after subtracting 5 from both sides.

Front

What does the symbol '≥' mean?

Back

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

Front

What is the solution to the equation m + 5 = 16?

Back

m = 11, after subtracting 5 from both sides.

Front

If you have the inequality -3 + x ≥ -12, do you need to flip the sign?

Back

No, you do not need to flip the sign because you are not multiplying or dividing by a negative number.