Inequalities

Question 1

{x: x<1}

Answer 1

The set of values of x in which x is less than one.

Question 2

{x: x>1} ∩ {x: x< 3}

Answer 2

The set of values of x in which it is bigger than 1 but smaller than 3 (as those to equalities are influenced by the intersection symbol)

Question 3

if you were to see something along the lines of {x: x<1} what would it be?

Answer 3

Function notation.

Question 4

If you were solving a quadratic inequality and you got down to the final 2 numbers what do you do?

Answer 4

Find a value that’s either within or out of the range. once you have subbed it into the original inequality if it gives you false information such as “1>3” then you want the final inequality to not include that section and also vice versa. Top Tip! If sensible try and pick 0 or (0,0) as it will easily get rid of a lot of numbers.

Question 5

if some idiot decided to represent an equality as an arrow with a circle on one end, what would it mean if that circle is coloured in?

Answer 5

It would also include that number.

Question 6

if some idiot decided to represent an equality as an arrow with a circle on one end, what would it mean if that circle just an empty circle?

Answer 6

It would not include that number.

Question 7

Are those idiotic inequality circle ended arrows always an arrow?

Answer 7

Nope! sometimes it’s just a line with a circle on either end.

Question 8

In an inequality graph would would a dotted line mean?

Answer 8

it does not include this number?

Question 9

In an inequality graph would would a non-dotted line mean?

Answer 9

It’s doing the number a solid by letting it in.