Solve Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable in an inequality, perform inverse operations on both sides of the inequality, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does it mean when an inequality is written as m ≥ -5?

Back

It means that the value of m is greater than or equal to -5.

Front

Solve the inequality: 9 ≥ -2m + 2 - 3

Back

m ≥ -5

Front

What is the first step to solve the inequality: 28 - k ≥ 7(k - 4)?

Back

Distribute the 7 on the right side: 28 - k ≥ 7k - 28.

Front

What does k ≤ 7 indicate about the value of k?

Back

It indicates that k can be any value less than or equal to 7.

Front

Solve the inequality: 7(x + 3) < 5x + 13

Back

x < -4

Front

What is the solution to the inequality: 6(n + 2) < -72?

Back

n < -14

Front

What does the inequality 4(b + 3) - 6 ≤ -2 represent?

Back

It represents a relationship where the expression on the left is less than or equal to -2.

Front

How do you graph the solution of an inequality?

Back

To graph the solution of an inequality, use a number line, shading the region that satisfies the inequality and using an open or closed dot to indicate whether the endpoint is included.