The inequality is y > 2x-3
option C is correct
What is inequality in math?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.
The line intersects the y- axis at point (0,-3)
i.e., The y-intercept =-3
We know that,
Equation of lime, y= mx + b
b: y-intercept
m: Slope of the line
Slope of the line,
m = 0-(-3)/3/2 = 2
m ⇒ 2
∴ Equation of line, y = 2x - 3
The shaded are is above the line, and line is represented with dotted lines,
hence the inequality is,
y > 2x - 3
Hence, option C is correct
Learn more about inequality link below
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