Math, asked by aceboii, 4 months ago

2x-3 < x+1 <= 4x+7, x € I​

Answers

Answered by Anonymous
1

Answer:

2x - 3 < x + 1 ≤ 4x + 7

Subtract x from each side

» x - 3 < 1 ≤ 3x + 7

» x - 3 < 1

» x < 4

» x € (-∞, 3] ... (1)

Also,

» 3x + 7 ≥ 1

» 3x ≥ - 6

» x ≥ -2

» x € [-2, ∞) ... (2)

from (1) & (2)

» x € [-2, 3]

Answered by pawangos
2

Answer:

x € [-2, 3]

Step-by-step explanation:

Given 2x - 3 < x + 1 ≤ 4x + 7

2x - 3 < x + 1

x < 4

So x € (-∞, 3] ........(i)

x + 1 ≤ 4x + 7

3x ≥ -6

x ≥ -2

So x € [-2, ∞) ........(ii)

from (1) & (2)

x € [-2, 3]

So value of x = -2, -1, 0, 1, 2, 3.

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