What is the solution of the inequality 7(x + 4) < 2(x–5) + 3(x + 9)?

x< -8.125

Step-by-step explanation:

7(x+4) < 2(x-5) -3(x+9)

distribute 7, 2, -3 to the parentheses to the right

7x+28<2x-10-3x-27

add like terms

7x+28<x-37

add x to 7x and subtract -28 to -37

8x<-65

divide both sides by 8

x<-8.125 or (-65/8)

x = 14° and y = 9°

Step-by-step explanation:

3x = 42° ( Being alternate angles)

x = 42° / 3

= 14°

Now

42° + 90° + 6y - 6° = 180° { Being sum of angles of triangle }

126° + 6y = 180°

6y = 180° - 126°

6y = 54°

y = 54° / 6

y = 9°

Hope it will help :)❤