How do you solve #9-g<4#?

Answer 1

You may add or subtract equally on both sides.

In this case we subtract 9: #->-g<-5#
We now want to get rid of the #-#-sign, which we can do by multiplying both sides by #-1# But: when multiplying (both sides) by a negative number you have to reverse the sign of the inequality.
#->g>5#

Check your answer, and you can see it's OK.

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Answer 2

#g > 5#

Method 1 Given #color(white)("XXXX")##9-g < 4# Add #g# to both sides #color(white)("XXXX")##9 < 4+g# Subtract 4 from both sides #color(white)("XXXX")##5 < g# #color(white)("XXXX")##color(white)("XXXX")#which can be written as #g > 5#
Method 2 Given #color(white)("XXXX")##9-g < 4# Subteact #9# from both sides #color(white)("XXXX")##-g < -5# Multiply both sides by #(-1)# [but remember multiplication or division by a negative number requires that the orientation of the inequality be reversed] #color(white)("XXXX")##g > 5#
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Answer 3
To solve the inequality 9 - g < 4, first, subtract 9 from both sides to isolate the variable g. This gives -g < -5. Next, multiply both sides of the inequality by -1 to make the coefficient of g positive. When multiplying or dividing by a negative number, remember to flip the direction of the inequality symbol. Therefore, the inequality becomes g > 5. So, the solution to the inequality is g > 5.
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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.

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.

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.

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.

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