Question

Solve for n.

solve for n.
−2(n − 4.5) > 11

n > 1
n < 1
n > −1
n < −1

Answer 1

n < -1

Explanation:

-2(n -4.5) > 11 (multiply the contents within the bracket by -2.)

-2n + 9 > 11 (- × - = +)

-2n > 11 - 9 [ like terms have to be with each other (transposing); and when u transpose a number it changes signs.]

-2n > 2 (divide both sides by negative 2)

n < -1 (sign changes as a reslut of the negative division)

Answer 2

n < - 1

Explanation:

- 2(n - 4.5) > 11 ← distribute parenthesis on left side

- 2n + 9 > 11 ( subtract 9 from both sides )

- 2n > 2

divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

n < - 1