Which number is in the solution set of the inequality #5x+3>38#?

Answer 1

The solution set is all numbers greater than #7#.

#x > 7#

To solve this we first substract #color(red)(3)# from each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#5x + 3 - color(red)(3) > 38 - color(red)(3)#

#5x + 0 > 35#

#5x > 35#

Now, we divide each side of the inequality by #color(red)(5)# to solve for #x# while keeping the inequality balanced:

#(5x)/color(red)(5) > 35/color(red)(5)#

#(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) > 7#

#x > 7#

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Answer 2

Nathan Axel

To find the number in the solution set of the inequality 5x + 3 > 38, solve for x: 5x + 3 > 38 Subtract 3 from both sides: 5x > 35 Divide both sides by 5: x > 7

So, any number greater than 7 is in the solution set of the inequality 5x + 3 > 38.

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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.

Which number is in the solution set of the inequality #5x+3&gt;38#?

Which number is in the solution set of the inequality #5x+3>38#?