2) Find x if IW = x -2 and IU = 2x - 6 H U A) 6.6 C) 7 B) 5 D) 4
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The inequality described can be written as:
y < 3x + 2.
<h3>How to get the inequality?</h3>First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:
y < line.
The linear equation is of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:
Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:
And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:
y < 3x + 2.
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The true solution to the system of inequities shown is B; All values that satisfy are solutions.
When mathematical expressions are compared, with non-strict equality, then such mathematical statements are called mathematical inequalities.
A collection of inequalities for which we consider a common solution for all inequalities is called a system of inequalities.
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
A set of such values is called a solution set to the considered equation or inequality.
The true solution to the system of inequities shown is B;
All values that satisfy are solutions.
Learn more about solutions to the system of inequalities here:
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