Solve: n^2/2 -2 = 5n/6

  n = -4/3  or   n = 3

Step-by-step explanation:

Multiply by 6 to eliminate fractions, then put into standard form.

  3n^2 -5n -12 = 0

  3n^2 -9n +4n -12 = 0 . . . . . separate -5n into two terms to facilitate factoring

  3n(n -3) +4(n -3) = 0 . . . . . factor pairs of terms

  (3n +4)(n -3) = 0 . . . . . . . . . factor out the common factor

  n = -4/3   or   3 . . . . . . . values that make the factors be zero

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!

she will travel a distance in the range of 3 - 11 miles