How do you solve the inequality #2(x - 4)< 8(x + 1/2)#?
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To solve the inequality (2(x - 4) < 8(x + \frac{1}{2})), follow these steps:
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Distribute the constants and variables: (2x - 8 < 8x + 4)
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Move all terms involving the variable (x) to one side and constants to the other side: (2x - 8x < 4 + 8)
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Combine like terms: (-6x < 12)
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Divide both sides of the inequality by (-6). Remember to reverse the inequality sign when dividing by a negative number: (x > -2)
So, the solution to the inequality is (x > -2).
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the inequality (2(x - 4) < 8(x + \frac{1}{2})), follow these steps:
-
Distribute the factors: (2x - 8 < 8x + 4)
-
Rearrange the terms to isolate the variable: (2x - 8x < 4 + 8)
-
Combine like terms: (-6x < 12)
-
Divide both sides by (-6). Note: Remember to reverse the inequality sign when dividing by a negative number. (x > -2)
So, the solution to the inequality is (x > -2).
By signing up, you agree to our Terms of Service and Privacy Policy
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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