Solve for x 4x-4<8 and 9x+5>23

9x > 18

Step-by-step explanation:

(i) x<3

(ii) x > 2

Step-by-step explanation:

4x - 4 < 8

Add 4 to both sides of the equation , that is

4x - 4 + 4 < 8 + 4

4x < 12

divide through by 4

x<3

Also

9x + 5 > 23

subtract 5 from both sides , that is

9x > 18

x > 2

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

if she was to only spend a dollar she can get 1lb

step-by-step explanation: