Question

The number line below represents which combined inequality?

number line with a closed circle on negative 6 and 5 with shading in between

x greater than or equal to −6 or x less than or equal to 5
x greater than or equal to −6 and x less than or equal to 5
x less than or equal to −6 and x greater than or equal to 5
x less than or equal to −6 or x greater than or equal to 5

Answer 1

we know that

number line with a closed circle on negative
`6` and
`5` with shading in between represent the combined inequality

`x\geq-6\\x\leq5`

the solution is the closed interval---------->
`[-6,5]`

therefore

the answer is the option

x greater than or equal to
`-6` and x less than or equal to
`5`

see the attached figure to better understand the problem