Solving Two-Step Inequalities

Front

What is a two-step inequality?

Back

A two-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 2x + 6 ≥ -8?

Back

x ≥ -7

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign means changing '>' to '<' or '≥' to '≤' (and vice versa) when multiplying or dividing both sides of an inequality by a negative number.

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5

Front

What is the solution to the inequality -9a - 1 < 26?

Back

a > -3

Front

When do you flip the sign in an inequality?

Back

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

Front

Solve for x: -4x + 1 > 21

Back

x < -5

Front

What is the first step in solving the inequality 2x + 6 ≥ -8?

Back

Subtract 6 from both sides to isolate the term with x.

Front

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

Back

x ≤ -4

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.