How do you solve the inequality $$5x - 7 ≥ 8$$ ?

Add 7 to both sides: $$5x ≥ 15$$ . Then divide by 5: $$x ≥ 3$$ .

What is the first step in solving $$\frac{k}{7} - 2 ≥ 3$$ ?

Add 2 to both sides: $$\frac{k}{7} ≥ 5$$ .

How do you isolate 'k' in the inequality $$\frac{k}{7} ≥ 5$$ ?

Multiply both sides by 7: $$k ≥ 35$$ .

What is the solution to the inequality $$-4 + \frac{x}{5} > 2$$ ?

Add 4 to both sides: $$\frac{x}{5} > 6$$ . Then multiply by 5: $$x > 30$$ .

How do you solve the inequality $$9x - 3 > 6$$ ?

Add 3 to both sides: $$9x > 9$$ . Then divide by 9: $$x > 1$$ .

What is the solution to the inequality $$7n - 1 > 76$$ ?

Add 1 to both sides: $$7n > 77$$ . Then divide by 7: $$n > 11$$ .

What is the difference between '≥' and '>' in inequalities?

'≥' includes the number itself, while '>' does not. For example, $$x ≥ 3$$ means x can be 3 or more, while $$x > 3$$ means x must be greater than 3.

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

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

What does it mean if an inequality has no solution?

It means there are no values that satisfy the inequality. For example, $$x

Two-Step Inequalities w/ positives only Flashcards

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1.

FLASHCARD QUESTION

Front

What is a two-step inequality?

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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What does the symbol '≥' mean in inequalities?

Back

'≥' means 'greater than or equal to'. It indicates that the value can be either greater than or exactly equal to the number.

4.

FLASHCARD QUESTION

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Back

Draw a number line, place a closed dot on 3, and shade to the right to indicate all numbers greater than or equal to 3.

5.

FLASHCARD QUESTION

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6.

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7.

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