If x ∈ I, find the smallest value of x which satisfies the inequation 2x+5/2>5x/3+2 - Noon Academy

If x ∈ I, find the smallest value of x which satisfies the inequation 2x+5/2>5x/3+2

Class 10 | Exercise 1 | ICSE | Linear Inequations | Maths | ML Aggarwal

If x ∈ I, find the smallest value of x which satisfies the inequation 2x+5/2>5x/3+2

According to question,

ML Aggarawal Solutions for Class 10 Chapter 4 - 45

$\left( 4x\text{ }+\text{ }5 \right)/2\text{ }>\text{ }\left( 5x\text{ }+\text{ }6 \right)/3$

[Taking L.C.M]

$3\text{ }\left( 4x\text{ }+\text{ }5 \right)\text{ }>\text{ }2\text{ }\left( 5x\text{ }+\text{ }6 \right)$

[On cross-multiplication]

$12x\text{ }+\text{ }15\text{ }>\text{ }10x\text{ }+\text{ }12$

$12x\text{ }\text{ }10x\text{ }>\text{ }12\text{ }\text{ }15$

$2x\text{ }>\text{ }-3$

$x\text{ }>\text{ }-3/2$

Hence,

for x ∈ I the smallest value of x is -1.

i

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