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

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides: 7b < 14. Then divide by 7: b < 2.

Front

What does the inequality -9a - 1 < 26 represent?

Back

It represents a condition where the expression on the left is less than 26, leading to the solution a > -3.

Front

If Daniel can spend no more than $40, how do you set up the inequality for his spending?

Back

1.50x + 10 ≤ 40, where x is the number of rides.

Front

What is the solution to the inequality 3x - 2 ≥ 34?

Back

Add 2 to both sides: 3x ≥ 36. Then divide by 3: x ≥ 12.

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6. Then divide by 6: t ≤ -1.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to'.

Front

What does the symbol '<' mean in an inequality?

Back

It means 'less than'.

Front

What is the first step in solving a 2-step inequality?

Back

The first step is usually to isolate the term with the variable by adding or subtracting.

Front

What is the second step in solving a 2-step inequality?

Back

The second step is to isolate the variable by multiplying or dividing.