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 often involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -3x - 4 < 5?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value can be either greater than or equal to a certain number.

Front

How do you solve the inequality 2x + 6 ≥ -8?

Back

Subtract 6 from both sides: 2x ≥ -14. Then divide by 2: x ≥ -7.

Front

What is the solution to the inequality -n + 8 < 26?

Back

Subtract 8 from both sides: -n < 18. Then multiply by -1 (flip the inequality): n > -18.

Front

How do you interpret the solution x > -3?

Back

This means that x can be any number greater than -3, but not -3 itself.

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Back

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Back

Multiply both sides by 7: u ≤ 14.

Front

What does it mean to flip the inequality sign?

Back

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

Front

What is the solution set for the inequality x < (1/3)?

Back

The solution set includes all real numbers less than (1/3).