How do you solve the compound inequality $$-27

To solve, first split it into two inequalities: $$-27 -2 \text{ and } x

What is the solution set for $$-13

First, split into two inequalities: $$-13

What is the solution for the compound inequality $$-3 ≤ 2x - 1 ≤ 5$$ ?

Split into two inequalities: $$-3 ≤ 2x - 1$$ and $$2x - 1 ≤ 5$$ . Solving gives $$-1 ≤ x ≤ 3$$ .

What is the difference between strict and non-strict inequalities?

Strict inequalities (e.g., $$ $$ ) do not include the endpoints, while non-strict inequalities (e.g., $$≤, ≥$$ ) do include the endpoints.

How do you combine inequalities using 'and'?

When combining inequalities with 'and', find the intersection of the solution sets. For example, if $$x > -2$$ and $$x

How do you combine inequalities using 'or'?

When combining inequalities with 'or', find the union of the solution sets. For example, if $$x 3$$ , the combined solution is $$x 3$$ .

What is the graphical representation of the compound inequality $$-2

On a number line, draw open circles at -2 and 2, shading the region between them to indicate all values of x that satisfy the inequality.

What is the solution to the inequality $$x + 4

Subtract 4 from both sides to get $$x

What is the solution to the inequality $$3x - 5 ≥ 1$$ ?

Add 5 to both sides and then divide by 3 to get $$x ≥ 2$$ .

How do you check the solution of a compound inequality?

Substitute values from the solution set back into the original inequalities to verify that they hold true.

What is the importance of compound inequalities in real-life applications?

Compound inequalities can model situations with multiple constraints, such as budget limits, speed limits, or temperature ranges.

12-9-22 Compound Inequalities Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a compound inequality?

Back

2.

FLASHCARD QUESTION

Front

What does 'and' mean in a compound inequality?

Back

3.

FLASHCARD QUESTION

Front

What does 'or' mean in a compound inequality?

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

On a number line, draw an open circle at -2 (not included) and a closed circle at 2 (included), shading the region between them.

7.

FLASHCARD QUESTION

Front

Back

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