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How do you solve #3x-3<=6 #?

Answer 1

See a solution process below:

First, add #color(red)(3)# to each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#3x - 3 + color(red)(3) <= 6 + color(red)(3)#

#3x - 0 <= 9#

#3x <= 9#

Now, divide each side of the inequality by #color(red)(3)# to solve for #x# while keeping the inequality balanced:

#(3x)/color(red)(3) <= 9/color(red)(3)#

#(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) <= 3#

#x <= 3#

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Answer 2

Abigail Allen

To solve the inequality 3x - 3 ≤ 6, first, add 3 to both sides of the inequality:

3x - 3 + 3 ≤ 6 + 3 3x ≤ 9

Then, divide both sides by 3:

3x / 3 ≤ 9 / 3 x ≤ 3

So, the solution to the inequality is x ≤ 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 #3x-3&lt;=6 #?

How do you solve #3x-3<=6 #?