Solving 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 x < -96?

Back

The solution is all real numbers less than -96.

Front

How do you represent the amount of potatoes a chef needs to buy if she has 7 pounds and needs more than 14 pounds?

Back

The inequality is x + 7 > 14, where x is the amount of potatoes she needs to buy.

Front

What is the solution to the inequality -4 + y < -8?

Back

The solution is y < -4.

Front

How do you isolate the variable in the inequality 15 > -5 + z?

Back

Add 5 to both sides to get 20 > z, or z < 20.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., <, >) does not include the boundary value, while a non-strict inequality (e.g., ≤, ≥) does include it.

Front

What does the inequality x + 3 ≤ 10 represent?

Back

It represents all values of x that are less than or equal to 7.

Front

How do you graph the inequality x > 5?

Back

You draw a number line, place an open circle at 5, and shade to the right.

Front

What is the solution set for the inequality 2x - 4 < 10?

Back

The solution set is x < 7.