Question

Solve Negative two-thirds n less-than-or-equal-to 16. Which of the following must be true about the inequality and the resulting graph? Select three options.

n less-than-or-equal-to negative 24
n greater-than-or-equal-to negative 24
The circle is open.
The circle is closed.
The arrow points right.

Answer 1

B, D, E

Explanation:

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Answer 2

Correct expression is
`n\geq -24` . As n is greater then or equal to so circle will be closed . Correct options are B)
`n\geq -24` and D)The circle is closed.

Explanation:

Here we have , Solve Negative two-thirds n less-than-or-equal-to 16. We need to find Which of the following must be true about the inequality and the resulting graph . Let's find out:

We have expression as :
`-(2)/(3) n\leq 16`

⇒
`-(2)/(3) n\leq 16`

⇒
`-(2)/(3)((3)/(2)) n\leq 16((3)/(2))`

⇒
`- n\leq 8(3)`

⇒
`- n\leq 24`

⇒
`- n(-1)\leq 24(-1)`

⇒
`n\geq -24`

Therefore , Correct expression is
`n\geq -24` . As n is greater then or equal to so circle will be closed . Correct options are B)
`n\geq -24` and D)The circle is closed.