ELL Solving One & Two Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols (e.g., <, >, ≤, ≥) to show that one expression is not equal to the other.

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 x + 2 < 5?

Back

x < 3.

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 flip the inequality sign if you multiply or divide by a negative number.

Front

What is the solution to the inequality -8 - w > 9?

Back

w < -17.

Front

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

Back

The inequality sign flips (e.g., if you have -x > 5 and divide by -1, it becomes x < -5).

Front

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

Back

m > -2.

Front

When do you need to flip the inequality sign?

Back

You need to flip the 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.

Front

What is the solution to the inequality -3x + 2 ≤ 22?

Back

x ≥ - 20/3 or x ≥ -6.67.