Question

The product of 9 and the quantity 5 more than a number t is less than 5

Answer 1

$9(t+5) \ \textless \ 5\ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\(9)(t)+(9)(5) \ \textless \ 5\\\\9t+45 \ \textless \ 5\ \ \ |subtract\ 45\ from\ bot\ sides\\\\9t \ \textless \ -40\ \ \ \ |divide\ both\ sides\ by\ 9\\\\\huge\boxed{t \ \textless \ -\dfrac{40}{9}\to t \ \textless \ -4\dfrac{4}{9}}$