Write the inequality shown in the graph below:

x < -3

Work Shown:

The boundary line is x = -3 as this vertical line goes through -3 on the x axis. Every point on this line has an x coordinate of -3 while the y coordinate is anything you want. So two points on this boundary line are (-3,0) and (-3,1)

The boundary line being dashed or dotted tells the reader "do not include this as part of the solution set".

So our answer will not have an "or equal to" as part of the inequality sign.

The shading to the left indicates we'll have a "less than" sign

So that's why the answer is x < -3

Every point in the purple shaded region has a point with an x coordinate that is less than -3. The value of y does not matter.

Two points in this shaded region are (-6,0) and (-4,7)

Points along the boundary line are not in the solution set.

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

4

step-by-step explanation: