Question

2x-7+9_>0solve Following inequality graphically

Answer 1

Answer:

x + y ≤9, y>x and x≥0

For solving this problem follow the below steps.

step1:- consider the inequations as strict equations.

x + y = 9,

y = x,

x = 0

step2:- find the points on co-ordinate axes.

for, x + y = 9

when, x = 0, y =9,

when, y = 0, x = 9

y = x , passing through origin(0,0)

x = 0 is coincidence with y-axis.

step3:- plot the graph,

x + y = 9,

y = x

x = 0

step4:- take a point(0,0)and put it in inequations.

(0)+(0) ≤ 9 , which is true. Hence, the shaded region will be towards the origin.

(0)>(0) , which is true. Hence, the shaded region will be towards the origin.

(0) ≥ 0 , which is true. Hence the shaded region will be towards the origin.

now, see attachment.

thus, common shaded region shows the solution of the inequalities.

Step-by-step explanation:

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