Solve the inequalities 7-3x-112- 11

Given : #160; 7 lt;(3x+11)2≤ 11 #160; 14 3x+11≤22 33x≤11 1 x≤113 ∴ x∈(1,113] ...

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Properties of Inequalities

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Question

Solve the inequalities
$7 < \frac{(3 x + 11)}{2} \leq 11$

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Solution

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Solve the inequalities:

$7 \leq \frac{(3 x + 11)}{2} \leq 11$

3 x - 7 > 2 (x - 6), 6 - x > 11 - 2 x

Solve the inequalities in Exercieses 7 to 10 and represent the solution graphically on number line:

3x-7 > 2(x-6),6-x > 11 -2x

\frac{7}{3} x - 2 = \frac{11}{5} x + 5

Solve the following systems of equations:

$3 x - \frac{y + 7}{11} + 2 = 10$

$2 y + \frac{x + 11}{7} = 10$

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