How do you solve the inequality $$3x + 5

Subtract 5 from both sides: $$3x

If $$4x - 7 > 9$$ , how do you isolate x?

Add 7 to both sides: $$4x > 16$$ . Then divide by 4: $$x > 4$$ .

What is the process to solve $$-4x + 14 ≤ 54$$ ?

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

What is the significance of flipping the inequality sign when dividing by a negative number?

Flipping the inequality sign ensures that the relationship between the two sides of the inequality remains true.

How do you check if a value satisfies the inequality $$3x + 5

Substitute the value into the inequality and see if the statement is true.

What is the solution to the inequality $$3(2x - 4) > 6x - 12$$ ?

Distribute: $$6x - 12 > 6x - 12$$ . This simplifies to $$0 > 0$$ , which is always true, so the solution is $$x > 0$$ .

What does it mean if an inequality has no solution?

It means that there are no values that can satisfy the inequality.

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

Use an open circle for and a closed circle for ≤ or ≥, shading in the direction of the solution.

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

A strict inequality ( ) does not include the endpoint, while a non-strict inequality (≤ or ≥) does include the endpoint.

What is the importance of understanding multi-step inequalities in real life?

They help in making decisions based on constraints, such as budgeting, planning, and resource allocation.

3.4 Flashcard (1) Multi-Step Inequalities Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

It means that x can be any number greater than or equal to -10.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

It indicates that x must be any positive number.

7.

FLASHCARD QUESTION

Front

Back

It means that n can be any number less than -14.

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