2 step inequalities

Front

What is a 2-step inequality?

Back

An inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

When do you 'flip the inequality sign'?

Back

When you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: 3x + 5 < 14

Back

x < 3.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

Graph the inequality: x < 4

Back

A number line with an open circle at 4 and shading to the left.

Front

Solve the inequality: -2x + 6 > 0

Back

x < 3.

Front

What is the solution set for the inequality: 5x - 10 ≤ 0?

Back

x ≤ 2.

Front

How do you represent the solution of an inequality on a number line?

Back

Use open circles for < or > and closed circles for ≤ or ≥, with shading in the direction of the solution.

Front

Solve and graph the inequality: 4n - 8 > 0

Back

n > 2.

Front

What is the first step in solving the inequality: 2x + 3 < 11?

Back

Subtract 3 from both sides to get 2x < 8.