Question 1171147
inequality is:


(86 + 88 + 78 + x) / 4 >= 83
simplify to get:
(252 + x) / 4 >= 83
multiply both sides of this inequality by 4 to get:
252 + x >= 332
subtract 252 from both sides of the inequality to get:
x >= 332 - 252
solve for x to get:
x >= 80.
logan needs to get at least an 80 to bet an average of at least 83.
to confirm, replace x in the equation with 80 to get:
you get:
(86 + 88 + 78 + 80) / 4 >= 83
simplify to get:
(332 / 4 >= 83 which becomes 83 >= 83.
this confirms the solution is correct.
when x = 80, the average equals 83.
when x > 80, the average is greater than 83.