Solve - -5 x - 4 - 30 - x - Z-

The correct option is C 11, 12, 13, ......... 5 ( x + 4 ) gt; 30 ; X ϵ Z X is a integer number here ⇒ 5x 20 gt; #160; 30 ⇒ #160; ...

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Byju's Answer

Standard VII

Mathematics

Integers

Solve : -5 ...

Question

Solve : $- 5 (x + 4) > 30; x \in Z$ .

{3, 4, 5, .........}

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{-9, -8, -7, .........}

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{-11, -12, -13, .........}

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None of these

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Solution

The correct option is C {-11, -12, -13, .........}
$- 5 (x + 4) > 30; X ϵ Z$
X is a integer number here
$\Rightarrow - 5 x - 20 > 30$
$\Rightarrow - 5 x > 30 + 20$
$\Rightarrow - 5 x > 50$
$\Rightarrow x < - \frac{50}{5}$
$\Rightarrow x < - 10$
$∵ t h e r e p l a c e m e n t s e t = Z (I n t e g e r N u m b e r s)$
$∴ t h e s o l u t i o n s e t = - 11, - 12, - 13...$

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Similar questions

3(5z-7)-2(9z-11)=4(8z-13)-17

Solve this equation.

Q. Solve:
3(5x − 7) − 2(9x − 11) = 4(8x − 13) − 17

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Evaluate :

$(i) \frac{3}{7} + \frac{- 4}{9} + \frac{- 11}{7} + \frac{7}{9} (i i) \frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5} (i i i) \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{9} (i v) \frac{3}{8} + \frac{- 5}{12} + \frac{3}{7} + \frac{3}{12} + \frac{- 5}{8} + \frac{- 2}{7}$

3(5x-7)-2(9-11)=4(8x-13)-17

Pls solve my query

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Solve : −5(x+4)>30;x∈Z.

The correct option is C {-11, -12, -13, .........}−5(x+4)>30;XϵZX is a integer number here⇒−5x−20>30⇒−5x>30+20⇒−5x>50⇒x<−505⇒x<−10∵ the replacement set=Z(Integer Numbers)∴ the solution set=−11,−12,−13...

Solve : $- 5 (x + 4) > 30; x \in Z$ .