The answer choice which matches the graph we drew is Option (A)
Concept of inequality and coordinate axes -
In mathematics, inequality is a statement of an order relationship that can be greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Coordinate axes is the graph of the X and Y axis . A straight line can be plot in the coordinate axes plane by identifying its slope and the value of its y-intercept.
How to determine the graph which satisfies the inequality and the straight line given in the question ?
Given equation of straight line is y + 2 < 1/4x - 1
We solve the inequality in standard form of equation of straight line,
y < 1/4x - 3 , where slope is 1/4 and y-intercept is 3 when comparing with y = mx + c.
From the four graphs given in the Option, each and every graph has a slope of 1/4 and a y-intercept of -3 .
In Option (A) the portion indicating in the graph is the region which is less than -3 . Also from the equation, y < 1/4x - 3 we can see that the variation of the curve will always be less than -3 and it will also be a straight line and not a dotted line.
So the graph of Option(A) satisfies the straight line and inequality.
To learn more about Inequality in equation of straight line, refer -
https://brainly.com/question/25969846
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