Question

Choose the point which is a solution to the system of inequalities:

x – 5y > –7
3x + 4y less than or equal to –8

(4, 5)

(–2, 4)

(–1, –1)

(3, –8)

Answer 1

try the choices out :), plug them in, see if they give a valid inequality
let's try the first one
(4, 5)
$$\bf
x-5y > -7\\
3x+4y \le -8\\
--------------\\
(4)-5(5) > -7\\
3(4)+4(5) \le -8\\
-21 > -7 \text{ # false -21 is really smaller}\\
32 \le -8 \ \ \ \ \ \text{ # false, 32 is really bigger}
$$

Answer 2

so it's not A

Answer 3

right

Answer 4

is the answer B?

Answer 5

let's see
(-2, 4)
(-2) - 5(4) > -7
-22 > -7 # no dice

Answer 6

-22 is really smaller than -7

Answer 7

ohhh ok ok

Answer 8

so it's D then... (i think you can see the pattern i'm doing here)

Answer 9

(3, -8)

(3) - 5(-8) > -7
43 > -7 # indeed

3(3) + 4(-8) <= -8
-23 <= -8 # yes it's

Answer 10

yayyy