3. Write the linear inequality shown in the graph. The gray area represents the shaded region.

A. y ≤ –3x – 5

B. y ≤ –3x + 5

C. y ≥ –3x – 5

D. y ≥ –3x + 5

B. y ≤ –3x + 5

Step-by-step explanation:

Its B, all y-values are less than -3x+5. also consider root by setting -3x+5=0

x=5/3 is positive so its the second one

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Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the gray area)

The slope of the solid line is negative

The y-intercept of the solid line is positive

The equation of the solid line is equal to  

therefore

the equation of the inequality is equal to

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

think about it deeply and passionately about this property

i am sorry