Solve Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

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

How do you solve the inequality -3x ≥ 12?

Back

To solve -3x ≥ 12, divide both sides by -3, which flips the sign: x ≤ -4.

Front

What is the solution to the inequality 8 + 4x > 24?

Back

To solve 8 + 4x > 24, subtract 8 from both sides to get 4x > 16, then divide by 4 to find x > 4.

Front

What does the solution x < -20 represent?

Back

The solution x < -20 represents all values of x that are less than -20 on a number line.

Front

How do you represent a real-world situation with an inequality?

Back

To represent a real-world situation with an inequality, identify the quantities involved, determine the relationship (greater than, less than, etc.), and express it mathematically.

Front

What inequality represents Triniti's savings situation?

Back

The inequality representing Triniti's savings situation is 500 - 25x ≥ 200, where x is the number of weeks.

Front

What is the first step in solving a two-step inequality?

Back

The first step in solving a two-step inequality is to isolate the term with the variable by performing the inverse operation (addition or subtraction).

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

How can you check your solution to an inequality?

Back

You can check your solution by substituting the value back into the original inequality to see if it holds true.