Decide whether each point is a solution to the system. y≤3x+4 and y <3x-2
1 answer:
All the points are the solution of the given inequalities except y < 3x-2 at ( 3, 13).
<h3>What is inequality?</h3>inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
We will check all the points for the given inequality as follows:-
Point Y ≤ 3x - 2 y ≤ 3x + 4
( 0,-2) -2 ≤ 3 ( 0) -2 -2 ≤ 0+4
-2 ≤ -2 -2 ≤ 4
Correct Correct
( 5, 0 ) 0 ≤ ( 5 x3 ) -2 0 ≤ ( 5 x 3 ) + 4
0 ≤ 13 0 ≤ 19
Correct Correct
( 3, 13 ) 13 ≤ ( 3 x 3 ) -2 13 ≤ ( 3x3) + 4
13 ≤ 7 13 ≤ 13
Incorrect Correct
As we can see the given points satisfy all the given inequalities but points ( 3, 13 ) are not satisfying the inequality y ≤ 3x - 2 it is giving 13 ≤ 7 here 13 is not less than 7.
Therefore the points are the solution of the given inequalities except for y < 3x-2 at ( 3, 13).
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