Question

Does (1, 1) make the inequality 2x + 17y ≥ 19 true?

Answer 1

Answer:

The point  (1, 1) makes the inequality $2x+17y\geq 19$ true.

Step-by-step explanation:

Given inequality:

$2x+17y\geq 19$

Point (1,1)

To check if the inequality is true for the given point.

Solution:

For a point $(x,y)$ to make the inequality true it must lie within the inequality range, or in other words it must be a solution of the inequality.

To check if point (1,1) lies within the inequality range, we will plugin the $x$ and $y$ values of the point in the given inequality.

Plugging in $x=1$ and $y=1$ in the inequality.

$2(1)+17(1)\geq 19$

$2+17\geq 19$

$19\geq 19$

Thus it satisfies the inequality as 19 is included in the inequality.

Thus, we say point  (1, 1) makes the inequality $2x+17y\geq 19$ true.

The graph of the inequality $2x+17y\geq 19$ and the location of the point (1,1) is shown below.