How do you solve #2/8x-13> -6#?
Remember: you can add or subtract any amount to both sides of an inequality and multiply or divide both sides by any positive amount without changing the validity or direction of the inequality.
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To solve the inequality 2/8x - 13 > -6, you would first isolate the variable x by performing the necessary operations to move constants and simplify the expression. Then, you would determine the values of x that satisfy the inequality.
Here are the steps:
- Add 13 to both sides of the inequality: 2/8x > -6 + 13.
- Simplify: 2/8x > 7.
- Multiply both sides of the inequality by 8 to eliminate the fraction: 8 * (2/8x) > 7 * 8.
- Simplify: 2x > 56.
- Divide both sides of the inequality by 2: (2x)/2 > 56/2.
- Simplify: x > 28.
So, the solution to the inequality is x > 28.
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To solve the inequality ( \frac{2}{8}x - 13 > -6 ), follow these steps:
- Add 13 to both sides: ( \frac{2}{8}x > -6 + 13 ).
- Simplify: ( \frac{2}{8}x > 7 ).
- Multiply both sides by 8 to eliminate the fraction: ( 2x > 7 \times 8 ).
- Simplify: ( 2x > 56 ).
- Divide both sides by 2: ( x > \frac{56}{2} ).
- Simplify: ( x > 28 ).
So, the solution to the inequality is ( x > 28 ).
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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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