Solving 2-Step Inequalities Practice

Front

What is a 2-step inequality?

Back

A 2-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 -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

The inequality symbol flips direction.

Front

Solve the inequality -3x - 4 < 5.

Back

Add 4 to both sides: -3x < 9. Then divide by -3 (flip the inequality): x > -3.

Front

What is the solution to the inequality k - 13 > -51?

Back

Add 13 to both sides: k > -38.

Front

Solve for t in the inequality 6t + 4 ≤ -2.

Back

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

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves drawing a number line and indicating the range of values that satisfy the inequality, often using an open or closed circle.

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (< or >) does not include the boundary value, while a non-strict inequality (≤ or ≥) does include the boundary value.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute a value from the solution set back into the original inequality to see if it holds true.

Front

What is the solution set for the inequality x + 5 > 2?

Back

x > -3.