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murzikaleks [220]
2 years ago
7

Solve for x. Show your work. -1/2x <-12

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
8 0

Answer:

24

Step-by-step explanation:

Multiply both sides of the inequality by -2 qnd flip the inequality sign:

- 2 \times ( -  \frac{1}{2} )x >  - 2x( - 12)

Multiply an even number of negative terms make the product positive:

2 \times  \frac{1}{2} x >  -2 \times ( - 12)

Reduce the number with the greatest common factor 2:

x >  - 2 \times ( - 12)

Multiply two negatives equal a positive: ( - ) × ( - ) = ( + ).

Multiply the number:

x > 2 \times 12

= 24

vitfil [10]2 years ago
5 0

Answer:

x>24

Step-by-step explanation:

First, let's re-write it multiplied by -2 on each side, the denominator will disappear and we'll have our x positive:

x>24

Remember: if you multiply a inequality for a negative number, change the sign to its opposite, for example the < become the >

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_____

<em>Comment on the solution</em>

You will note that finding the value of the variable involved arithmetic with negative numbers. If you want the numbers to stay positive, then you can choose the variable to represent <em>the most expensive</em> of the items: the number of pounds of apples.

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