Question

write a two - step inequality, using the values provided in the problem, that represents this situation. use x as the variable. 191 + 21x > 560 what is the smallest number of whole weeks tran needs to reach the goal? label optional

Explanation:

Step1: Subtract 191 from both sides

To isolate the term with \( x \), we subtract 191 from both sides of the inequality \( 191 + 21x > 560 \). This gives us \( 21x > 560 - 191 \). Calculating the right - hand side: \( 560-191 = 369 \), so the inequality becomes \( 21x>369 \).

Step2: Divide both sides by 21

To solve for \( x \), we divide both sides of the inequality \( 21x > 369 \) by 21. So \( x>\frac{369}{21}\approx17.57 \). Since \( x \) represents the number of whole weeks, we need to round up to the next whole number because 17 weeks will not be enough (as \( x \) must be greater than approximately 17.57). So \( x = 18 \).

Answer:

18