The given inequality is, 2 #x2264;3x #x2212;4 #x2264;5(1) Add 4 to the above inequality. 2+4 #x2264;3x #x2212;4+4 #x2264;5+4 ...

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Properties of Inequalities

1. 2 s 3 x-45...

Question

1. 2 s 3x-4s5

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Solution

The given inequality is,

2≤3x−4≤5(1)

Add 4 to the above inequality.

2+4≤3x−4+4≤5+4 6≤3x≤9

Divide the above inequality by 3.

6 3 ≤ 3x 3 ≤ 9 3 2≤x≤3

The solution of the given inequality is the real number x which is less than or equal to 3 and greater than or equal to 2.

Thus, the solution set of the inequality is [ 2,3 ].

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