Kyle asks his friend jane to guess his age and his grandmother’s age. kyle says his grandmother is not more than 80 years old. he says his grandmother’s age is, at most, 3 years less than 3 times his own age.

jane writes this system of inequalities to represent k, kyle’s age, and g, kyle’s grandmother’s age.

inequality 1: g > 80
inequality 2: g ≤ 3k – 3

which inequality did jane write incorrectly, and how could it be corrected?

a inequality 1 is incorrect; it should be g ≤ 80.
b inequality 1 is incorrect; it should be g ≥ 80.
c inequality 2 is incorrect; it should be g < 3k – 3.
d inequality 2 is incorrect; it should be g ≥ 3k – 3.

The answer is A on ed

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .