Question

1. Which set represents the inequality x 1 in interval notation?
(Points : 1)
(Infinite, 1]

(1, Infinite)

[1, Infinite)

(Infinite,1)

Answer 1

the inequality sign is missing

Answer 2

Oh yes i know that but its because i don't know how to type the inequality sign .... :)

Answer 3

type ">=" to mean \(\Large \ge\)

type "<=" to mean \(\Large \le\)

Answer 4

\[ (-\infty, 1] = x \le1\]\[ (1,\infty) = x >1\]\[ (1,\infty] = x \ge1\]\[ (-\infty, 1) = x <1\]

Answer 5

correction: \[[1,\infty) = x \ge1\]

Answer 6

ok the question asked which set represents the inequality x >= -1

Answer 7

So it would be

\[\large [-1,\infty)\]

basically it's the interval from -1 to infinity. We include -1 with the square bracket [ but we exclude infinity because infinity is not a number and you cannot reach infinity (but you can approach it). So that's why anytime you deal with -infinity or +infinity, you always use a parenthesis.

Answer 8

Oh okay ! that makes sense thank you !

Answer 9

so how would i do this one ? :)
Which is the solution set of -4 <= 3- y over the whole numbers?
{0, 1, 2, 3, 4, 5, 6}

{6, 7, 8, 9, 10, …}

{7, 8, 9, 10, …}

{0, 1, 2, 3, 4, 5, 6, 7}