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# Maths help C1

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1. Find the set of values of x for which
(a) 3(x– 2) < 8 – 2x
(b) (2x–7)(1+x) < 0
(c) both 3(x– 2) < 8 – 2x and (2x–7)(1+x) < 0

I don't know how to do the last bit (c)
2. (Original post by sweetiemelx)
Find the set of values of x for which
(a) 3(x– 2) < 8 – 2x
(b) (2x–7)(1+x) < 0
(c) both 3(x– 2) < 8 – 2x and (2x–7)(1+x) < 0

I don't know how to do the last bit (c)
Solve each one independently first and then combine your solutions.
3. (Original post by Zacken)
Solve each one independently first and then combine your solutions.
Hi Zack,

I'am having the same issue. How do you combine the solutions, I have been losing marks everythime this question comes up
4. (Original post by Zacken)
Solve each one independently first and then combine your solutions.
Thank you
5. Part (c) in this example should only be worth like 1 mark. All you have to do is join your two answers from part (a) and part (b) together as 1 inequality.

For example if your answer to the first part was x < 3 and the second part was -1 < x < 5 you would join them together to make -1 < x < 3. This is because the x < 3 implies that it wont be any bigger than 3 and therefore the ending of the -1 < x < 5 inequality can be ignored. So your new inequality works for both sections. (This example has nothing to do with the values in the question by the way).
6. (Original post by Zacken)
Solve each one independently first and then combine your solutions.
Hi Zack,

I'am having the same issue. How do you combine the solutions, I have been losing marks everythime this question comes up
7. (Original post by AlphaWolfZ)
Hi Zack,

I'am having the same issue. How do you combine the solutions, I have been losing marks everythime this question comes up
For example, if you have

x > 5 for the first inequality.

and x > 2 for the second.

Then your overall solution is (x > 5) AND (x>2).

This simplifies to x>5. Since if something is both >5 and >2, then it's the same thing as saying it's just greater than 5.
8. (Original post by Kelly220)
Part (c) in this example should only be worth like 1 mark. All you have to do is join your two answers from part (a) and part (b) together as 1 inequality.

For example if your answer to the first part was x < 3 and the second part was -1 < x < 5 you would join them together to make -1 < x < 3. This is because the x < 3 implies that it wont be any bigger than 3 and therefore the ending of the -1 < x < 5 inequality can be ignored. So your new inequality works for both sections. (This example has nothing to do with the values in the question by the way).
Sorry i took longer to write than expected so it has been answered now
9. An inequality with the common values of X so where the answers for A and B intersect

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