How do you solve the inequality $$|y - 4| \ge 8$$ ?

Split into two cases: 1) $$y - 4 \ge 8$$ which gives $$y \ge 12$$ ; 2) $$y - 4 \le -8$$ which gives $$y \le -4$$ . Thus, the solution is $$y \le -4$$ or $$y \ge 12$$ .

How do you solve the inequality $$|p + 3| \ge 10$$ ?

Split into two cases: 1) $$p + 3 \ge 10$$ which gives $$p \ge 7$$ ; 2) $$p + 3 \le -10$$ which gives $$p \le -13$$ . Thus, the solution is $$p \le -13$$ or $$p \ge 7$$ .

What is the difference between $$x > 5$$ and $$x \ge 5$$ ?

$$x > 5$$ means x is greater than 5, while $$x \ge 5$$ means x is greater than or equal to 5.

What does the inequality $$x

It is represented by an open circle at -2 and a line extending to the left.

How do you solve the inequality $$|y - 4|

Split into two cases: 1) $$y - 4 -8$$ which gives $$y > -4$$ . Thus, the solution is $$-4

What is the meaning of the inequality $$y \le 3$$ ?

It indicates that y can take any value less than or equal to 3.

How do you graph the inequality $$x \ge -5$$ ?

Draw a number line, place a closed circle at -5, and shade to the right to indicate all values greater than or equal to -5.

What is the solution to the inequality $$|p + 3|

Split into two cases: 1) $$p + 3 -10$$ which gives $$p > -13$$ . Thus, the solution is $$-13

What does the inequality $$x > -2$$ indicate?

It shows that x can take any value greater than -2.

What is the solution to the inequality $$|y - 4|

Split into two cases: 1) $$y - 4 -8$$ which gives $$y > -4$$ . Thus, the solution is $$-4

Chapter 2 Test Review (Algebra 1 Big Ideas CC High School) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

It indicates that the value of y must be greater than or equal to 3, meaning the student will study Greek for at least 3 years.

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

It shows that x can take any value greater than or equal to -5.

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

It indicates that x can take any value less than -2.

6.

FLASHCARD QUESTION

Front

What is the definition of an absolute value inequality?

Back

An absolute value inequality is an inequality that involves the absolute value of a variable, indicating the distance of that variable from a certain point on the number line.

7.

FLASHCARD QUESTION

Front

Back

This means that y can either be less than or equal to -4 or greater than or equal to 12.

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