Which of the following is the solution to the inequality below? -6(4-x)< - -4(x+1)a. x< - 2b. x> - 10c. x> - 2d. x< - 10

x<2

Step-by-step explanation:

To solve the inequality, use the distributive property to simplify the parenthesis. Then use inverse operations to isolate x.

-6(4-x)< -4(x+1)

-24+6x<-4x-4

-24+4+6x<-4x

-20+6x<-4x

-20<-4x-6x

-20<-10x

2>x or x<2

12.5 feet

step-by-step explanation:

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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