How do you solve the inequality #(2x - 1) + (x +3) > 18 - x#?

Answer 1

#x > 4#

Treat the inequality in the same was as an equation:

#(2x-1)+(x+3) > 18-x#
#2x-1+x+3 >18-x#
Simplify and add #x# to both sides:
#3x +2 +x > 18-x+x#

Subtract 2 from both sides

#4x+2-2 > 18-2#
#4x > 16#
#x > 4#
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Answer 2

To solve the inequality (2x - 1) + (x + 3) > 18 - x, first simplify both sides of the inequality:

2x - 1 + x + 3 > 18 - x

Combine like terms:

3x + 2 > 18 - x

Add x to both sides to isolate terms with x on one side:

3x + x + 2 + x > 18

Combine like terms:

5x + 2 > 18

Subtract 2 from both sides:

5x > 16

Divide both sides by 5:

x > 16/5

So, the solution to the inequality is x > 3.2.

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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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