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 often involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality: 2 - 3x ≤ 20?

Back

x ≥ -6

Front

What does the solution n ≤ 20 represent in the inequality 7 - 3n ≥ -53?

Back

It means that n can be any number less than or equal to 20.

Front

What is the first step to solve the inequality: -2x + 9 ≤ -11?

Back

Subtract 9 from both sides to isolate the term with the variable.

Front

What is the solution to the inequality: u/7 - 1 ≤ 1?

Back

u ≤ 14

Front

How do you interpret the solution 3 < c in the inequality 22 < 6c + 4?

Back

It means that c must be greater than 3.

Front

What is the importance of reversing the inequality sign when multiplying or dividing by a negative number?

Back

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

Front

What is the solution to the inequality: 5x - 3 > 12?

Back

x > 3.

Front

How do you check your solution for the inequality: 4x + 1 ≤ 13?

Back

Substitute the solution back into the original inequality to verify if it holds true.

Front

What does the inequality x + 5 < 10 imply about x?

Back

x must be less than 5.