Solving one step inequalities and equations

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, greater than or equal to, or less than or 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 difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, perform the same operations on both sides of the inequality, just as you would in an equation, while remembering to reverse the inequality sign if you multiply or divide by a negative number.

Front

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

Back

m < -2.

Front

What is the solution to the inequality 8p ≥ -64?

Back

p ≥ -8.

Front

What does the inequality y - 13 ≤ -15 represent?

Back

It represents that y is less than or equal to -2.

Front

What is the correct inequality for the statement 'x is at least 70'?

Back

x ≥ 70.

Front

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

Back

The inequality sign reverses direction.

Front

What is the graphical representation of the solution to the inequality 4 < t?

Back

An open circle at 4 on a number line with a line extending to the right.