7 Lesson 12: Solving and Graphing 2-Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to solve for the variable.

Front

What does it mean to flip the inequality sign?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the direction of the inequality sign.

Front

Solve the inequality: -3x - 2 < -17. What is the first step?

Back

Add 2 to both sides: -3x < -15.

Front

Solve the inequality: 5x - 2 > 8. What is the solution?

Back

x > 2.

Front

Solve for k: 2k - 9 ≤ -19. What is the first step?

Back

Add 9 to both sides: 2k ≤ -10.

Front

What is the solution to the inequality 4x - 2 ≤ -22?

Back

x ≤ -5.

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the symbol '>' mean?

Back

It means 'greater than'.

Front

How do you graph the inequality b ≤ -2?

Back

Draw a solid dot on -2 and shade to the left.

Front

What is the solution to the inequality 3x + 4 > 10?

Back

x > 2.