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.