4) Practice: Organizing Information Complete the steps for graphing an inequality.
Step Rewrite the inequality to
1:
and graph the
Step Replace the inequality symbol with an
2: equation of the boundary line as a
or
line.
Step Use the direction of the
to decide which half plane to shade,
3:
either above or below the line.
Step Use a
to determine which half plane will satisfy the inequality.
4:
Use the point
if it is not on the boundary line.

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

345

step-by-step explanation:

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