Question

Which ordered pairs are solutions to the inequality y - 4x ≤ -6

Answer 1

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:

$y-4x\leq -6$

1. (-2,-14)

$y-4x\leq -6\\-14-4(-2)\leq -6\\-14+8\leq -6\\-6\leq -6$

True

2. (-1,-9)

$y-4x\leq -6\\-9-4(-1)\leq -6\\-9+4\leq -6\\-5\leq -6$

False

3. (3,5)

$y-4x\leq -6\\5-4(3)\leq -6\\5-12\leq -6\\-7\leq -6$

True

4. (1,3)

$y-4x\leq -6\\3-4(1)\leq -6\\3-4\leq -6\\-1\leq -6$

False

5. ( 0 , -5 )

$y-4x\leq -6\\-5-4(0)\leq -6\\-5\leq -6$

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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