Show that the equation y -2= 4(3x+5) is a liner and then tell if it represents a proportional or nonproportional relationship between x and y

y=12x+22 is linear but not proportional

Step-by-step explanation:

This is a linear equation because it has an x and y within the expression without exponents or other complex operators. We can rearrange and simplify the equation into slope-intercept form.

This linear equation follows the form y=mx+b where m is the slope and b is the y-intercept. For this function, m=12 and b=22. This is not a proportional relationship because the function's y-intercept is something other than 0.

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!