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X+3y>-8 which order pair is the inequality

-6,0
-5,1
-16,2
-1,-2
0,-3

1 Answer

7 votes

Answer:

(-6, 0)

(-5, 1)

(-1, -2)

General Formulas and Concepts:

  • Order of Operations: BPEMDAS

Explanation:

Step 1: Define

x + 3y > -8

(-6, 0) ?

(-5, 1) ?

(-16, 2) ?

(-1, -2) ?

(0, -3) ?

Step 2: Check 1

  1. Substitute: -6 + 3(0) > -8
  2. Multiply: -6 > 8
  3. Check: -6 > 8 ? Yes

Step 3: Check 2

  1. Substitute: -5 + 3(1) > -8
  2. Multiply: -5 + 3 > 8
  3. Add: -2 > -8
  4. Check: -2 > -8 ? Yes

Step 4: Check 3

  1. Substitute: -16 + 3(2) > -8
  2. Multiply: -16 + 6 > -8
  3. Add: -10 > -8
  4. Check: -10 > -8 ? No

Step 5: Check 4

  1. Substitute: -1 + 3(-2) > -8
  2. Multiply: -1 - 6 > -8
  3. Subtract: -7 > -8
  4. Check: -7 > -8 ? Yes

Step 6: Check 5

  1. Substitute: 0 + 3(-3) > -8
  2. Multiply: -9 > -8
  3. Check: -9 > -8 ? No
User Sergey Tarasov
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