Solving 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. It typically involves addition or subtraction followed by multiplication or division.

Front

What is the first step in solving the inequality 5b - 6 = 24?

Back

Add 6 to both sides.

Front

What do you do after adding 6 to both sides in the inequality 5b - 6 = 24?

Back

Divide both sides by 5.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

n > 11.

Front

How do you graph the solution of an inequality?

Back

Use a number line to represent the solution set, with an open circle for 'greater than' or 'less than' and a closed circle for 'greater than or equal to' or 'less than or equal to'.

Front

What does the inequality -4x + 14 ≤ 54 simplify to?

Back

x ≥ -10.

Front

What is the solution to the inequality y + 7 ≥ 12?

Back

y ≥ 5.

Front

How do you solve the inequality -3x - 4 < 5?

Back

Add 4 to both sides, then divide by -3, remembering to flip the inequality sign.

Front

What is the importance of flipping the inequality sign when dividing by a negative number?

Back

Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.

Front

What does the solution x > -3 represent on a number line?

Back

It represents all numbers greater than -3, shown with an open circle at -3 and a line extending to the right.