Question

if the replacement set is the set of whole number solve;
7 - 3x ≥ 1/2​

Answer 1

Answer:

If the replacement set is set of whole numbers, solve:

(i) x+7≤11 (ii) 3x−1>8

(iii) 8−x>5 (iv) 7−3x≥−

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ANSWER

(1)x+7≤11

x≤4

So, x∈[0,4]

(2)3x−1>8

3x>9⟹x>3

So, x∈(3,∞)

(3)8−x>5

x<3

⟹x∈[0,3)

(4)7−3x≥

2

−1

3x≤7+

2

1

3x≤

2

15

x≤

2

5

x∈[0,

2

5

]