Question

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)

Answer 1

Answer: 1) -2x-6

2) First option is correct.

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* 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.

Answer 2

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)