Question

Which linear inequality is represented by the graph?
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Answer 1

y > 2 / 3x + 3 ; Option C

Explanation:

Consider the y - intercept and slope of the following graph;

`y - intercept = ( 0, 3 ) In Other Words - 3\\slope = rise / run = 2 / 3, In Other Words- slope = 2 / 3`

Now let us formulate an equation given this information;

`Take Equation In Form - y = ax + b, where a - slope, b - yintercept,\\y = ax + b, a = 2 / 3, b = 3, substitute\\y = 2 / 3x + 3`

If this graph represents a dotted line, the shaded portion being > than that of the line, we can say that instead of the = being in the equation y = 2 / 3x + 3, take a greater than sign!

`Solution ; y > 2 / 3x + 3`

y > 2 / 3x + 3 ; Option C

Answer 2

C

Explanation: