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Xio needs at least $124 to attend a Cardi B concert. Right now she has $18. She makes $16 an hour as a nail tech. Draw and graph the answer to the inequality: X + 18 > $124.

a) X > $106
b) X > $142
c) X > $140
d) X > $106

User Wirling
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Final answer:

Xio needs to earn more than $106 to attend the concert, by solving the inequality X + 18 > 124. We determine she must work at least 7 additional hours at her current wage.

Step-by-step explanation:

The student's question is about solving an inequality related to a real-life scenario involving attending a concert. To solve for the inequality X + 18 > 124, we need to find the amount of money, represented by X, that Xio needs to make on top of the $18 she already has to ensure she has more than $124. Subtracting 18 from both sides of the inequality, we get X > 106. This means Xio needs to make more than $106 as a nail tech to have enough money for the concert.

Graphically, we would plot the inequality on a number line with an open circle on 106 and shading to the right, indicating all the numbers greater than 106. Since she makes $16 per hour, we can determine how many more hours she needs to work: dividing $106 by $16 per hour gives us approximately 6.625 hours, so Xio would need to work at least 7 more hours as a nail tech to afford the ticket.

User Edison Chuang
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