One-Step Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or 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 -4 + y < -8?

Back

y < -4

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable, perform the same operations on both sides of the inequality, just like in an equation.

Front

What is the solution to the inequality x + 5 > 7?

Back

x > 2

Front

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

Back

The inequality sign flips (changes direction) when you multiply or divide both sides by a negative number.

Front

What is the solution to the inequality (n/3) > -20?

Back

n > -60

Front

How do you check if a value satisfies an inequality?

Back

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

Front

What is the solution to the inequality x - 2 > -18?

Back

x > -16

Front

What is the solution to the inequality -2x > -18?

Back

x < 9 (the inequality sign flips because we divided by a negative number).