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

Front

How do you solve the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Front

What is the solution to the inequality 3(m + 7) < 28?

Back

First, divide by 3: m + 7 < 28/3. Then subtract 7: m < 7/3.

Front

What does the inequality 7k - 2 ≥ -9 mean?

Back

It means that when you solve for k, the value of k must be greater than or equal to -1.

Front

How do you interpret the inequality 11 > -3y + 2?

Back

Rearranging gives -3y < 9, which simplifies to y > -3.

Front

What is the first step in solving the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6.

Front

What does it mean if k ≤ -5?

Back

It means that k can be any number less than or equal to -5.

Front

What is the significance of the inequality symbol in 3 > y?

Back

It indicates that y must be less than 3.

Front

How do you check the solution of an inequality?

Back

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

Front

What is the difference between < and ≤ in inequalities?

Back

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