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How do you solve: #6m + 2 < 10#?

Answer 1

Isaiah Anthony

#m < 4/3#

First, while maintaining the inequality's balance, isolate the #m# term on one side of the inequality:

#6m + 2 - red color(2) < 10 - - red color(2)#

#6m + 0 < 8#

#6m < 8#

Now, find #m# while maintaining the equality's balance:

< 8/color(red)(6)# #(6m)/color(red)(6)

#(color(black)(6))(m)/cancel(color(red)(6)) < (2/2) * (4/3)#

#m < 1* 4/3#

#m < 4/3#

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Answer 2

Hazel Anglin

To solve the inequality 6m + 2 < 10, subtract 2 from both sides to isolate the term with m. Then, divide both sides by 6 to solve for m.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve: #6m + 2 &lt; 10#?

How do you solve: #6m + 2 < 10#?