Answer:
Step-by-step explanation:
Given that,
|P| = 2x / 5 + 1
|Q| = x + 1
|P+Q| = 3x + 2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
(2x / 5) + 1 + x + 1 > 3x + 2
(2x / 5) + 2 + x > 3x + 2
Multiply through by 5
2x + 10 + 5x > 15x + 10
Collect like terms
2x + 5x - 15x > 10 -10
-8x > 0
Then,
Divide both side by -8, since we are dividing with a negative number the inequality sign will change
Then,
x < 0 first condition
Note that,
|P| > 0
Then,
2x / 5 + 1 > 0
2x / 5 > -1
2x > -5
x > -5/2
Also,
|Q| > 0
x + 1 > 0
x > -1
Also
|P+Q| > 0
3x + 2 > 0
3x > -2
x > -2 / 3
So, comparing the four conditions
We see that x ranges from -5/2 to 0, this range covers all the other ranges
(-5/2, 0)
The first answer is correct
(2/3)*((2/3)*m-(2/3)) = 0
(2/3)*((2/3)*m-2/3) = 0
2/3*(2/3*m-2/3) = 0
2/3*m-2/3 = 0 // + 2/3
2/3*m = 2/3 // : 2/3
m = 2/3/2/3
m = 1
This question makes no sense. If Karl only has 5 pounds of flour and each batch of cookies uses 13 pounds of flour, then he doesn’t even have enough to make 1 batch of cookies let alone 7 batches.
If I'm reading this copy-pasted math right, you have 
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