5 1/6 + (7 1/3)l <60

Question

asked Dec 2, 2021 178k views

1 Answer

Machinery · Answer 1 · 2021-12-05T23:31:27+0000

Answer:

l<7(21)/(44)

Explanation:

Given the inequality

5(1)/(6)+7(1)/(3)l<60

First, convert mixed numbers to improper fractions:

$5(1)/(6)=(5\cdot 6+1)/(6)=(31)/(6)\\ \\7(1)/(3)=(7\cdot 3+1)/(3)=(22)/(3)$

Now the inequality looks like

(31)/(6)+(22)/(3)l<60

Multiply it by 6:

$(31)/(6)\cdot 6+(22)/(3)l\cdot 6<60\cdot 6\\ \\31+44l<360\\ \\44l<360-31\\ \\44l<329\\ \\l<(329)/(44)\\ \\l<7(21)/(44)$