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Mathematics: Post your doubts here!

Namehere

Namehere

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Namehere said:
Sorry for my "writing". Tell me if you dont understand something. Try answering your questions yourself first before asking me though :)
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For the explanation on the right, at the beginning it should read " making it less than (the modulus part) -> times by -1 changes the inequality sign"
 
Namehere

Namehere

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sitooon said:
Why did you draw first case and used no. line second case ?
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Well the first quesiton gave a quadratic, so sketching a graph is always useful for solving some problems involving inequalities. The second question gave two inequalities, so maybe both could be right, but in this case for both inequalities to be right, x > -1/2 has to be true (since x > -1/2 has to contain the values for x> 5/4 - It´s the same as saying x>2 and x>10, for both to be right x can be any value bigger than 2 (which includes any value bigger than 10)). The number line is just there to visualize the problem.
 
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