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Bumek [7]
3 years ago
7

|2x-3|<5 |x-2|>1 I need answer for this inequalities

Mathematics
1 answer:
irina1246 [14]3 years ago
6 0

1)first step

for the first  inequation you need apply  the following property,  IXI < a

-a<x<a, them  you must substitute  2x-3, of this form

-5<2x-3<5⇒ -5+3<2x-3+3<5+3⇒-2<2x<8⇒-2/2<2x/2<8/2⇒  -1<x<4,

the solution is

S1 =(-1,4)

2) For the second inequality  apply the following  property

IXI>a ,   x<-a or  x >a , therefore

IX-2I>1  ⇒X-2 <-1  OR  X-2> 1

X-2<-1⇒X-2+2<-1+2⇒ X< 1

OR

X-2>1⇒X>1+2⇒X>3

THE SOLUTION IS S2 = (-∞,1)∪(3,∞)

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4 0
2 years ago
800+900×25-65(89+5)-12÷67-7​
vlada-n [284]

Answer:

As there is Bracket lats solve it first but as there is '-' sign before the bracket sign in the bracket will change. so we will have,

'800+900×25-65(89-5)-12÷67-7'

Solving the bracket gives us:

'800+900×25-65(84)-12÷67-7'

Now avoiding the Bracket:

'800+900×25-5460-12÷67-7'

Now first we have to do MUltiplication, so we will get,

'800+22500-5460-12÷67-7'

Now let's do the division, so we will get,

'800+22500-5460-0.17-7'

Now lets do the additions and subtractions we will get,

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4 0
2 years ago
How much money should the company spend on marketing each month?​
o-na [289]

The function represents the profit, and the company obviously wants to maximize it.

You can see that the profit increases until the parabola reaches its maximum.

The coordinate of the maximum look like (1.5, 90)

This means that, if the company invests 1.5 thousand dollars, the profit will be 90 thousand dollars, and this is the maximum profit the company can reach.

7 0
3 years ago
Find the indicated limit, if it exists. <br><br> See file below.
White raven [17]

Answer:

c

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6 0
2 years ago
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nikdorinn [45]

Answer:

The sum of reciprocals is 2/3.

You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.

Step-by-step explanation:

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1/a + 1/b = x

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8 0
2 years ago
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