Da4idshahgrud
Answered

1) simplify (3x-5)-(5x+1)


2) Which of the following points lie in the solution set to the following system of inequalities?


y < -3x + 3

y < x + 2


(1, -5)


(1, 5)


(5, 1)


(-1, 5)

Verified Answer :

meerkat18

1.simplifying (3x-5)-(5x+1), we distribute first the negative sign resulting to 3x-5)-5x-1. we then group the similar terms and add or subtract. The answer is -2x -6
.
2.     y  -3x + 3
        y < x + 2 
       -3x + 3 > x + 2 
        -4x  > -1
         x > 1/4
         y < 9/4

Answer that fits  is B (1,5)

Answer: 1) -2x-6

2) First option is correct.

Step-by-step explanation:

Since we have given that

1) simplify (3x-5)-(5x+1)

\((3x-5)-(5x+1)\\\\=3x-5-5x-1\\\\=-2x-6\)

2) y < -3x + 3

and, y < x + 2

If we put (1,-5) in the equations :

\(-5<-3\times 1+3\\\\-5<0\ true\\\\and\\\\-5<1+2\\\\-5<3,\ true\)

So, (1,-5) lies in the solution set.

Hence, First option is correct.

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