2x + 5y = 9
The line perpendicular to the given line is?

y=5/2 .   *the question doesn't specify a y-intercept for the perpendicular line so just leave it as if it passes through 0.

Step-by-step explanation:

First, you isolate y to put the line in slope intercept form. Then, you take the slope and find the reciprocal(-5/2) then flip the sign giving you a slope of 5/2.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!