12/2 Pre Algebra 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. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality 11 > -3y + 2?

Back

Subtract 2 from both sides: 9 > -3y. Then divide by -3 (remember to flip the inequality): -3 < y.

Front

What does the inequality 22 < 6c + 4 represent?

Back

To solve, subtract 4 from both sides: 18 < 6c. Then divide by 6: 3 < c.

Front

What is the solution to the inequality 2 - 3x ≤ 20?

Back

Subtract 2 from both sides: -3x ≤ 18. Then divide by -3 (flip the inequality): x ≥ -6.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves drawing a number line or coordinate plane to represent all possible solutions of the inequality.

Front

What is the difference between < and ≤ in inequalities?

Back

< means 'less than' and does not include the endpoint, while ≤ means 'less than or equal to' and includes the endpoint.

Front

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

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the direction of the solutions.

Front

What is the first step in solving the inequality -2 + m/4 ≤ -7?

Back

Add 2 to both sides: m/4 ≤ -5.

Front

What is the next step after m/4 ≤ -5?

Back

Multiply both sides by 4: m ≤ -20.

Front

What does the inequality -4x + 36 > 24 represent?

Back

To solve, subtract 36 from both sides: -4x > -12. Then divide by -4 (flip the inequality): x < 3.