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How do you solve the inequality #3x-4<10#?

Answer 1

Abigail Allen

#x< 14/3#

Isolate 3x by adding 4 to both sides of the inequality.

#3xcancel(-4)cancel(+4)<10+4#

#rArr3x<14#

divide both sides by 3

#(cancel(3) x)/cancel(3)<14/3#

#rArrx<14/3" is the solution"#

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Answer 2

Ethan Adkins

To solve the inequality (3x - 4 < 10), you would first add 4 to both sides to isolate the variable:

(3x - 4 + 4 < 10 + 4)

This simplifies to:

(3x < 14)

Next, divide both sides by 3 to solve for (x):

(\frac{3x}{3} < \frac{14}{3})

Which simplifies to:

(x < \frac{14}{3})

So, the solution to the inequality is (x < \frac{14}{3}).

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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 the inequality #3x-4&lt;10#?

How do you solve the inequality #3x-4<10#?