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How do you solve #(4 + x) / 5<=8#?

Answer 1

See a solution process below:

First, multiply each side of the inequality by #color(red)(5)# to eliminate the fraction while keeping the equation balanced:

#color(red)(5) xx (4 + x)/5 <= color(red)(5) xx 8#

#cancel(color(red)(5)) xx (4 + x)/color(red)(cancel(color(black)(5))) <= 40#

#4 + x <= 40#

Now, subtract #color(red)(4)# from each side of the equation to solve for #x# while keeping the equation balanced:

#4 - color(red)(4) + x <= 40 - color(red)(4)#

#0 + x <= 36#

#x <= 36#

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Answer 2

Jace Anderson

To solve the inequality (4 + x) / 5 <= 8:

Multiply both sides of the inequality by 5 to eliminate the denominator:

(4 + x) / 5 * 5 <= 8 * 5 4 + x <= 40
Subtract 4 from both sides to isolate x:

4 + x - 4 <= 40 - 4 x <= 36

So, the solution to the inequality is x <= 36.

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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 #(4 + x) / 5&lt;=8#?

How do you solve #(4 + x) / 5<=8#?