Question

*Remember solutions are found in the shaded area or on a solid line (points on a dashed line are not a solution).

Answer 1

The solutions for the inequality are -

• (3, 3)
• (7, 7)
• (10, 10)

What is the general equation of a Straight line? What is linear inequality?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

A inequality is used to compare two or more expressions. The straight line inequalities are of the form -

y > mx + c

y < mx + c

y ≥ mx + c

y ≤ mx + c

We have the following inequality -

x + 3y > 6

We can write -

x + 3y > 6

3y > - x + 6

y > (-1/3)x + 2

Refer to the graph of the inequality attached. The plotted points in the shaded region represent the solutions for the inequality. We can write -

• (3, 3)
• (7, 7)
• (10, 10)

Therefore, the solutions for the inequality are -

• (3, 3)
• (7, 7)
• (10, 10)

To solve more questions on Plotting inequalities, visit the link below -

brainly.com/question/1782515

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