What inequality is graphed below?

A

Step-by-step explanation:

The graph is showing all numbers less than -56 are part of the solution so x would be LESS THAN but not including -56. The open circle above -56 means that it is not part of the solution. If the answer were to be B then the circle would be filled in to show that -56 is included in the solution. If the answer were to be C then the arrow would be going the other way towards positive numbers (x is greater than -56) and for it to be D it would have to point towards the positive numbers but also include -56 (x is equal to and greater than -56).

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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