20
Step-by-step explanation:
Divide both sides by 2
|x-3|>4 and |x-3|<-4
ok so |x-3|<-4 is false, since |x|≥0 always
so we have
|x-3|>4
now assume
x-3>4 and
x-3<-4
x-3>
add 3
x>7
x-3<-4
add 3
x<-1
so
-1>x and x>7
so basically it is all numbers from -∞ to +∞ except from -1 to 7
in interval notaion
(-∞,-1)U(7,∞)
S={x|x<-1 or x>7}
The solution to the equation is (b) there is no solution.
<h3>How to solve the rational equation?</h3>
The equation is given as:
Factorize the quadratic numerator
Multiply through by (x - 1)(x - 2)
2x(x - 2) - (2x -5) = -3(x - 1)
Expand
2x² - 4x - 2x + 5 = -3x + 3
Collect like terms
2x² - 4x - 2x + 3x + 5 - 3 = 0
Evaluate the like terms
2x² - 3x + 2 = 0
Using a graphical tool, the above equation has no real solution
Hence, the solution is (b) there is no solution.
Read more about rational equations at:
brainly.com/question/1851758
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Answer:
<h2>
perimeter of △SMP = 25</h2>
Step-by-step explanation:
The perimeter of the triangle △SMP is the sum of al the sides of the triangle.
Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.
Given LM=9, NR=16 and SR=8
NR = NP+PR
Since NP = PR
NR = NP+NP
NR =2NP
NP = NR/2 = 16/2
NP = 8
From △LSM, NP = PR = <u>MS</u><u> = 8</u>
Also since LM = MN, MN = 9
From △SRP, SR = RP = <u>PS = 9</u>
Also SR =<u> MP = 8</u>
From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||
perimeter of △SMP = 8+8+9
perimeter of △SMP = 25