Inequalities and Abs Value

Question 1

IQ’s are like equations because ___ except they have ___

Answer 1

They mostly follow the golden Rule BUT have way more solutions and have slightly different rules

Question 2

Abs value is… and has how many meanings?

Answer 2

how far is the number from zero. Treat bracket symbols as parentheses… They have two meanings a negative or positive solution

Question 3

Special multiplication and division rules are…

Answer 3

If you multiply/divide both sides by a negative you MUST flip the sign.

Unless you know the sign of the variable avoid manipulating it…

Question 4

When would we know the sign of the variable and could safely manipulate it without worrying about it being potentially negative…

Answer 4

If we’re dealing with people and length

Question 5

Can abs value be non-positive?

Answer 5

Only with the number zero

Question 6

How to solve an Abs value question?

Answer 6

Isolate the expression using algebra until, expression within brackets is alone on one side

Question 7

Solving… IQ + ABS

Answer 7

Same rules. Positive and negative symbol that is an upside down T with a line through it… you will be given two equations that give you a range of answers

Question 8

When combining IQ with ABS and you have overlapping number lines, what does that reveal about your solution?

Answer 8

It will ONLY be within the range of the overlap. You can combine the two equations into one IQ

y > -8
Y < 2
-8 < y < 2 is the final solution

Question 9

An IQ could be graphed,

How would X > 0 look?

Answer 9

Quadrants 1 and 4 would be shaded. Anything to the left of the Y axis is excluded

Question 10

If given two numbers to identify a specific range of points…

Answer 10

Think of a coordinate plane