Which of the following inequalities is graphed on the coordinate plane?
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Inequalities help us to compare two unequal expressions. The correct option is A.
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
For the given graph it can be seen that the slope is negative and the value of the y-intercept is 1. Therefore, the equation of the solid line is -2x+1. Since the area on the left side of the line is shaded, therefore, the inequality should be represented by less than sign, (<).
Also, the line of the graph is solid, therefore, the inequality sign should be less than and equal to, (≤).
Hence, the inequality that is representing the given graph is y≤-2x+1.
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