Option B (-3,5) represents the ordered pair that is a solution set of [tex]\rm 8x+16y > 32[/tex]
We are given an inequality
[tex]\rm 8x+16y > 32[/tex]
We have to determine that which of the following options of ordered pair is the solution set for the given inequality
The options are given as follows
A. (0,2)
B. (-3,5)
C.(-1,1)
D. (4,0)
Whichever option of ordered pair will satisfy the given inequality will be the solution set for the given in-equation.
By trying all the options as following
A. (0,2)
[tex]\rm 8 (0) +16\times (2) >32\\32> 32 \; is\; false[/tex]
B (-3,5)
[tex]\rm 8\times (-3) +16 \times 5 > 32\\-24 + 80 > 32\\56 > 32 \; is \; true[/tex]
C.(-1,1)
[tex]\rm 8 \times (-1) + 16 \times (1) > 32\\-8 + 16 > 32 \\8 > 32 \; is \; false[/tex]
D. (4,0)
[tex]\rm 8 \times 4 + 16 \times 0 > 32 \\32 > 32 \; is \; false[/tex]
So we can conclude that option B (-3,5) represents the ordered pair that is a solution set of [tex]\rm 8x+16y > 32[/tex]
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https://brainly.com/question/11897796
