Find the inequality represented by the graph

Question

asked May 10, 2021 222k views

1 Answer

Asad Shah · Answer 1 · 2021-05-16T11:14:22+0000

Answer:

$\displaystyle y > (1)/(2) x + 2$

Explanation:

we want to figure out the inequality of the given graph to do so we can consider the following inequality

$\displaystyle y > mx + b$

where:

from the graph we acquire that b (y-intercept) is 2

to figure out m we can consider the following formula:

$\displaystyle m = ( \Delta y)/( \Delta x)$

since the change in y is 1 and x is 2 we obtain:

$\displaystyle m = ( 1)/( 2)$

altogether substitute which yields:

$\displaystyle y > (1)/(2) x + 2$

and we are done!