Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≥ −x − 4
a. (-5,2)
b. (5,-2)
c. (-5,-2)
d. (5,2)

A. NOT

(-5, 2) → x = -5, y = 2

y ≤ x - 5 → 2 ≤ -5 - 5 → 2 ≤ -10 FALSE

B. YES

(5, -2) → x = 5, y = -2

y ≤ x - 5 → -2 ≤ 5 - 5 → -2 ≤ 0 TRUE

y ≥ -x - 4 → -2 ≥ -5 - 4 → -2 ≥ -9 TRUE

C. NOT

(-5, -2) → x = -5, y = -2

y ≤ x - 5 → -2 ≤ -5 - 5 → -2 ≤ -10 FALSE

D. NOT

(5, 2) → x = 5, y = 2

y ≤ x - 5 → 2 ≤ 5 - 5 → 2 ≤ 0 FALSE

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!