Solving 2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-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 6t + 4 ≤ -2?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

Solve for y: -3y + 2 > 11.

Back

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

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Front

Solve for y: 11 > -3y + 2.

Back

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

Front

What is the first step in solving the inequality 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8.

Front

How do you isolate 'a' in the inequality -4a > -8?

Back

Divide by -4 (remember to flip the inequality): a < 2.

Front

Solve for k: 2k - 9 ≤ -19.

Back

Add 9 to both sides: 2k ≤ -10. Then divide by 2: k ≤ -5.

Front

What is the solution set for the inequality 2k - 9 ≤ -19?

Back

The solution set is k ≤ -5.