Answer :
The ordered pairs that are solution to the given inequality are:
(-2 , -14)
( 3 , 5 )
Further explanation:
In order to check which ordered pairs are the solution to the inequality, we have to check whether the inequality is true for specific ordered pair or not.
Given inequality is:
[tex]y-4x\leq -6[/tex]
1. (-2,-14)
[tex]y-4x\leq -6\\-14-4(-2)\leq -6\\-14+8\leq -6\\-6\leq -6[/tex]
True
2. (-1,-9)
[tex]y-4x\leq -6\\-9-4(-1)\leq -6\\-9+4\leq -6\\-5\leq -6[/tex]
False
3. (3,5)
[tex]y-4x\leq -6\\5-4(3)\leq -6\\5-12\leq -6\\-7\leq -6\\[/tex]
True
4. (1,3)
[tex]y-4x\leq -6\\3-4(1)\leq -6\\3-4\leq -6\\-1\leq -6[/tex]
False
5. ( 0 , -5 )
[tex]y-4x\leq -6\\-5-4(0)\leq -6\\-5\leq -6[/tex]
False
So the ordered pairs that are solution to the given inequality are:
(-2 , -14)
( 3 , 5 )
Keywords: Inequalities, Solution of inequality
Learn more about inequalities at:
- brainly.com/question/563607
- brainly.com/question/6279571
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