Question

Graph y≤1−3x .

Answer 1

Given y ≤ 1 − 3x

When x = 0, y = 1 and when y = 0, x = 1/3

Consider, point (0, 2) which is above the draph of the inequality, clearly, 2 is not less that 1 - 3(0) = 1.

Thus, the portion above the line does not satisfy the inequality, hence, the portion below the line is shaded.

Therefore, the graph satisfying the inequality is a number graph with x axis ranging from negative one to five, and y axis ranging from negative four to two. A solid line with arrows at both ends passing through the y axis at one and the x axis at point one over three. The graph is shaded below the line.