3<2x-1<1

Asked by yashchaturvedi8964 | 2nd Oct, 2019, 08:53: PM

Expert Answer:

G i v e n colon
minus 3 less than fraction numerator 2 x plus 1 over denominator 3 end fraction less than 1
S o l v i n g space t h e space i n e q u a l i t y space s e p e r a t e l y comma space w e space h a v e
minus 3 less than fraction numerator 2 x plus 1 over denominator 3 end fraction
rightwards double arrow negative 9 less than 2 x plus 1 rightwards double arrow negative 10 less than 2 x
rightwards double arrow x greater than negative 5
A n d space fraction numerator 2 x plus 1 over denominator 3 end fraction less than 1
rightwards double arrow 2 x plus 1 less than 3 rightwards double arrow 2 x less than 2
rightwards double arrow x less than 1
S o space w e space h a v e
minus 5 less than x less than 1
H e n c e comma space x equals negative 4 comma space minus 3 comma space minus 2 comma space minus 1 comma space 0

Answered by Renu Varma | 3rd Oct, 2019, 09:51: AM