2 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, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality x/4 > -3?

Back

Multiply both sides by 4: x > -12.

Front

When solving inequalities, does the inequality sign flip when multiplying or dividing by a negative number?

Back

Yes, the inequality sign flips when multiplying or dividing both sides by a negative number.

Front

Is x = 9 a solution to the inequality x > 9?

Back

FALSE, because 9 is not greater than 9.

Front

What does the inequality x ≥ 70 represent in terms of passing a math class?

Back

It means that students must score 70% or higher to pass.

Front

How do you represent the inequality for c being less than 9?

Back

c < 9.

Front

What is the first step to solve the inequality m - 5 > 8?

Back

Add 5 to both sides: m > 13.

Front

What does the inequality x < -12 indicate about the value of x?

Back

It indicates that x must be less than -12.

Front

If you have the inequality 3x + 2 < 11, what is the first step to solve for x?

Back

Subtract 2 from both sides: 3x < 9.

Front

What is the solution to the inequality 2x - 4 ≥ 10?

Back

Add 4 to both sides: 2x ≥ 14, then divide by 2: x ≥ 7.