The number 5 is included in which of the following solutions? choose all that apply

{x: x < -3 or > 4}

{x: x ≥5}

{x: x < 5}

{x: 0

Option 1 and 2 are correct.

Step-by-step explanation:

1. {x:x <-3 or >4}

Here the values of x can be less than -3 or the values of x can be greater than 4. Since 5 is greater than 4 so, 5 is included in the solution

2. {x:x ≥5}

Here the values of x can be greater than or equal to 5. So, 5 is included in the solution.

3. {x:x <5}

Here the values of x can be less than 5. So, 5 is not included in the solution

4. {x:0<x<4}

Here the value of x is greater than 0 but less than 4. So, 5 is not included in the solution

So, Option 1 and 2 are correct.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4