2-step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, similar to solving a 2-step equation.

Front

Solve for b: 7b - 3 < 11

Back

b < 2

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides by a negative number.

Front

Solve for a: -9a - 1 < 26

Back

a > -3

Front

Solve for x: x/-4 + 2 > 7

Back

x < -20

Front

What does it mean to isolate a variable in an inequality?

Back

Isolating a variable means to manipulate the inequality so that the variable is on one side and all other terms are on the other side.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you check the solution of an inequality?

Back

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

Front

What is the difference between < and ≤?

Back

< means 'less than' and does not include the boundary, while ≤ means 'less than or equal to' and includes the boundary.