Graph y≤1−3x .

Number graph 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 three. The graph is shaded below the line.

A graph with y axis ranging from negative 4 to 2 and x axis ranging from negative 1 to 4. A dotted line with arrows at both ends passing through the y axis at one and the x axis at point 3. The graph is shaded above the line.

Number graph with y axis ranging from negative 4 to 2, and x axis ranging from negative 2 to 6. A solid line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded above the line.

Number graph with x axis ranging from negative one to five, and y axis ranging from negative four to two. A dotted line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded below the line.

Question

agaddis630 agaddis630

11-10-2017
Mathematics

contestada

Graph y≤1−3x .

Number graph 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 three. The graph is shaded below the line.

A graph with y axis ranging from negative 4 to 2 and x axis ranging from negative 1 to 4. A dotted line with arrows at both ends passing through the y axis at one and the x axis at point 3. The graph is shaded above the line.

Number graph with y axis ranging from negative 4 to 2, and x axis ranging from negative 2 to 6. A solid line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded above the line.

Number graph with x axis ranging from negative one to five, and y axis ranging from negative four to two. A dotted line with arrows at both ends passing through the y axis at one and the x axis at point three. The graph is shaded below the line.

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Simplify 4x - 2y - 3x + 5y

nobillionaireNobley nobillionaireNobley · Answer 1 · 2017-10-19T21:40:19+02:00

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.