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Maths-

SAT

Easy

Question

The solution to which system of inequalities is represented by the shaded region of the graph?

y $\leq$ 7
y $\leq$ 2x + 1
y $\leq$ 7
y $\geq$ 2x + 1
x $\leq$ 7
2y $\leq$ x
x $\leq$ 7
2y $\geq$ x

The correct answer is: y $less or equal than$ 7
y $greater or equal than$ 2x + 1

The shaded portion is below y = 7
Thus, the line equation will be $y less or equal than 7$
The second line passes through the point (1,3) & (3,7)
$S l o p e space equals space m space equals space fraction numerator 7 minus 3 over denominator 3 minus 1 end fraction equals 4 over 2 equals 2$
y = 2x + b
3 = 2(1) + b
b = 3 - 2 = 1
y = 2x + 1
The shade is above the line $y greater or equal than 2 x plus 1$ .

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