Solving Multistep Inequalities

Front

What is a multistep inequality?

Back

An inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Front

How do you solve the inequality -3 - 6(4x + 6) > -111?

Back

x < 3

Front

What symbols indicate a closed dot when graphing an inequality?

Back

≤, ≥

Front

How do you solve the inequality 28 - k ≥ 7(k - 4)?

Back

k ≤ 7

Front

What is the solution to the inequality 6x + 2 < 14?

Back

x < 1

Front

For the inequality -2x < 14, which of the following is a solution? -6, -7, -8, -9?

Back

-6

Front

What does it mean when an inequality has a closed dot on a number line?

Back

It means that the number is included in the solution set.

Front

What does it mean when an inequality has an open dot on a number line?

Back

It means that the number is not included in the solution set.

Front

How do you graph the inequality x > 2?

Back

Draw a number line, place an open dot at 2, and shade to the right.

Front

What is the first step in solving the inequality 5x - 3 < 12?

Back

Add 3 to both sides to isolate the term with x.