How do you solve #16n- 20\leq 2( 7n + 10)#?

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Answer 1 · 2018-03-18T14:59:50

#n<=20#

#16n - 20 <= 2(7n +10)#

Distribute the left side

#16n - 20 <= (2)(7n)+(2)(10)#

#16n - 20 <= 14n + 20#

Then subtract #14n# from both sides

#16n - 20 - 14n <= 14n + 20 - 14n#

#2n - 20 <=20#

Then add #20# on both sides

#2n - 20 + 20 <= 20 + 20#

#2n <= 40#

Finally, divide both sides by 2

#(2n)/2 <= 40/2#

#n<=20#