Question

plss help fasttttt.......​

Answer 1

Answer: x ≥ 15/4

Step-by-step explanation:

-2 ≤ 1/2 - 2x/3 ≤ 5/6        (x∈N)

-2≤ (3-4x)/6

-12 ≤ 3-4x

-15≤-4x

15/4 ≤ x --------1

1/2 - 2x/3 ≤ 5/6

(3-4x)/6 ≤ 5/6

3-4x≤5

-4x≤2

-x≤1/2                                       (Multiply both sides by -1)

x≥-1/2 --------2                        (Inequality is reversed when we multiply by -1)

From 1 and 2-

15/4 ≤ x ≥ -1/2

So x ≥ 15/4.

Answer 2

Answer:

{1, 2, 3}

Step-by-step explanation:

• -2 ≤ 1/2 - 2x/3 ≤ 1 5/6        (x∈N)
• -2 ≤ (3 - 4x)/6 ≤ 11/6  
• -12 ≤ 3 - 4x ≤ 11                   (×6)
• -15 ≤ - 4x ≤ 8                       (-3)
• 15/4 ≥  x ≥ -2                       (× (-1/4))
• 1 ≤ x ≤ 3                               (excluding non naturals)

Answer: x = {1, 2, 3}