2(x 1)/5≤3(2+x)/7 ⇒ 7(2(x 1))≤ 5(3(2+x)) ⇒ 14(x 1)≤ 15(2+x) ⇒ 14x 14 ≤ 30+15x ⇒ 14x 15x ≤ 30+14 ⇒ x ≤ 44 ⇒ x ≥ 44 ∴ The solution set is [ 44,∞ ] ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Method of Intervals

2x-1/5≤32+x/7

Question

$\frac{2 (x - 1)}{5} \leq \frac{3 (2 + x)}{7}$

Open in App

Solution

$\frac{2 (x - 1)}{5} \leq \frac{3 (2 + x)}{7} \Rightarrow 7 (2 (x - 1)) \leq 5 (3 (2 + x)) \Rightarrow 14 (x - 1) \leq 15 (2 + x) \Rightarrow 14 x - 14 \leq 30 + 15 x \Rightarrow 14 x - 15 x \leq 30 + 14 \Rightarrow - x \leq 44 \Rightarrow x \geq - 44 ∴ T h e s o l u t i o n s e t i s [- 44, \infty]$

Suggest Corrections

Similar questions

x

\frac{2 (x - 1)}{5} \leq \frac{3 (2 + x)}{7}

\frac{2 (x - 1)}{5} \leq \frac{3 (2 + x)}{7} ?

Factorize $2 x^{2} - 7 x + 5 = 0$

\int e^{- x} [\frac{2 x + 5}{(2 x + 3)^{2}}] d x =

Join BYJU'S Learning Program