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Hello there, and thank you for asking your question here on brainly.

Short answer: The first graph, A.

Why?

The equation 3x - 7y < -21 is a dotted line that passes through -7 on the axis. Therefore, the correct answer is A.

Hope this helped you! ♥
Kazeemsodikisola

Answer:

Step-by-step explanation:

Given the inequality

3x —7y <—21

Make y subject of formulae to know the slope and intercept on y axis

—7y < —3x — 21

Divide through by -7, note the inequalities sign will change since we are dividing with a negative

Then,

y > 3x/7 + 3

Then, the intercept is 3 and the slope is 3/7 when compared to equation of a line y = mx + c

We know that

y is greater than 3x/7 + 3, so the upper part should be shaded since y is greater than 3x/7 + 3

Then, option B and C are wrong since the below is shaded

Let find the intercept on the x axis to know the answer between A and B

I.e. when y = 0

3x —7y <—21

3x < —21

x < -7, then, line should pass through the negative of x and not positive x

So, the first option (A) is correct

Ver imagen Kazeemsodikisola

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