Solving and graphing two-step inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two steps to solve, typically involving addition or subtraction followed by multiplication or division.

Front

How do you represent a closed circle on a number line?

Back

A closed circle indicates that the number is included in the solution set, used for symbols like ≤ and ≥.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of the inequality by a negative number.

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5.

Front

What is the solution to the inequality 11 > -3y + 2?

Back

y < -3.

Front

When do you use an open circle on a number line?

Back

An open circle indicates that the number is not included in the solution set, used for symbols like < and >.

Front

What is the first step to solve the inequality 6(n + 2) < -72?

Back

Distribute the 6 to get 6n + 12 < -72.

Front

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

Back

x ≤ -4.

Front

What symbols indicate a closed circle when graphing inequalities?

Back

≤ and ≥.

Front

What is the solution to the inequality 3y + 5 < 14?

Back

y < 3.