Two-Step Inequality

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Front

How do you solve the inequality 7n - 1 > 76?

Back

Add 1 to both sides: 7n > 77; then divide by 7: n > 11.

Front

When do you flip the inequality sign?

Back

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

Front

What is the solution to the inequality -3x ≥ 12?

Back

x ≤ -4 (divide by -3 and flip the sign).

Front

How do you graph the inequality n > 11?

Back

Draw a number line, place an open circle at 11, and shade to the right.

Front

What is the solution to the inequality 7k - 2 ≥ -9?

Back

k ≥ -1 (add 2 to both sides, then divide by 7).

Front

How do you solve the inequality -2x + 9 ≤ -11?

Back

Subtract 9 from both sides: -2x ≤ -20; then divide by -2: x ≥ 10 (flip the sign).

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

What does the symbol '>' mean?

Back

It means 'greater than'.

Front

What is the first step in solving the inequality 5x - 3 < 12?

Back

Add 3 to both sides: 5x < 15.