Question

Which of the following describes the graph of 2x + 4y < 16? a:solid line, shaded below b:dashed line, shaded above c:dashed line, shaded below d:solid line, shaded above

Answer 1

Answer: C

Step-by-step explanation:

$2x+4y<16\\=4y<-2x+16\\=y<-\frac{1}{2} x+4$

Since we are not dividing by a negative at any point during the simplification, the inequality sign won't change.

"<" means that the line will be dashed and shaded below.

Hope this helps!

Answer 2

The description of the inequality is (c) dashed line, shaded below

The inequality is given as:

2x + 4y < 16

The inequality is represented as less than (<)

When the less than sign is used in an inequality, the graph of the inequality would be a dashed line shaded below

Hence, the true statement is (c) dashed line, shaded below

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