Question

Match the graph

Answer 1

The characteristics of the given graph that can be used to find the

inequality are the y-intercept and the shaded region of the inequality.

Correct response:

• The inequality of the given graph is $\underline{j. \hspace{0.3 cm} 3 \cdot x - 1 \geq y}$

Method used to find the inequality of the graph

Given:

From the given diagram, we have that the inequality is a linear inequality,

therefore, the inequality can be expressed as y ≤ m·x + c.

Where:

m = The slope

c = The y-intercept

From the graph, the y-intercept of the graph of the inequality is at the point (0, -1)

Therefore;

• At x = 0, y = -1

The shaded region which is to the right of the line with a positive slope

(the straight line increasing from left to right) indicates that the value of y is

less than the equation of the line of the inequality.

The solid line in the graph indicates that the inequality relationship is less

than or equal to (≤).

The inequality that has -1 as the y-intercept and a shaded region to the right of the solid line from among the given options is option j. 3·x - 1 ≥ y

The above inequality can be written as follows;

y ≤ 3·x - 1

Therefore;

• The inequality of the graph is $\underline{j. \hspace{0.3 cm} 3 \cdot x - 1 \geq y}$

Learn more about inequalities here:

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