Select the inequality that corresponds to the figure:
a. y ≥ x
b. y ≤ x
c. y > x
d. y < x

B

Step-by-step explanation:

Since the shaded region is below a Line graph, we know that this correspond to an inequality that has < sing, also, the line graph seems included in the region, the inequality not only has < sing, but also the = sign

Thus, we get to the conclusion that Y <= x, the line

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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