Solve the inequality. SHOW YOUR WORK!
(3)/(2)-(10)/(3)((13)/(2)n-(1)/(3))>=-(1513)/(18)
I got \(n≤4\) but Idk how I got that step by step or what to do next.
(3)/(2)-(10)/(3)((13)/(2)n-(1)/(3))>=-(1513)/(18)
I'm gonig to assume that this is :
(3/2) - (10/3)[ (13/2)n - (1/3) >= - (1513/18) distribute the (10/3) over the terms in parentheses
(3/2) - (130/6)n + 10/9 >= - (1513 / 18) multiply through by LCM of 2, 6, 9 and 18 = 18
27 - 390n + 20 >= - 1513 combine like terms
47 - 390n > = -1513 subtract 47 from both sides
-390n > = -1560 divide both sides by -390 and reverse the ineqaulity sign
n <= 4