Solve 3(x + 2) > x
{x | x < -1}
{x | x > -1}
{x | x < -3}
{x | x > -3}

{x | x > -3}

Step-by-step explanation:

3 (x+2) > x

Distribute

3x+6 >x

Subtract 3x from each side

3x-3x+6 >x-3x

6 > -2x

Divide each side by -2, remembering to flip the inequality

6/-2 < -2x/-2

-3 < x

{x | x > -3}

Step-by-step explanation:

3(x + 2) > x

3x + 6 > x

2x > -6

x > -3

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is