Which ordered pairs are solutions to the inequality 4x+y> −6? select each correct answer. (2, 0) (−3, 6) (4, −20) (0, −9) (−1, −1)

(2,0) , (4,-20) and (-1,-1)

Step-by-step explanation:

WE need to select an ordered pair that is solution to our inequality

Lets check with each option

(2,0) , plug in 2 for x  and 0 for y

True

(−3, 6), plug in -3 for x  and 6 for y

False

(4, −20) , plug in 4 for x  and -20 for y

True

(0, −9) , plug in 0 for x  and -9 for y

False

(-1, −1) , plug in -1 for x  and -1 for y

True

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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