Question

Find the solution of the following simultaneous inequalities: x + 2 < 6 and x – 3 > –1

Answer 1

Answer:

1). x+2<6

x<6-2

=x<4

2).x-3> -1

x> -1+3

x> 2

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Answer 2

Answer:

x € (2,4)

Step-by-step explanation:

Given that two simultaneous inequality.

x + 2 < 6 ......(1)

x - 3 > -1 .......(2)

First of all solving the ineqn (1)

Therefore, we will get,

=> x + 2 - 2 < 6 - 2

( Addition on inequality doesn't affects the sign of inequality. )

=> x < 4 .......(3)

Now, solving the ineqn (2),

Therefore, we will get,

=> x - 3 + 3 > -1 + 3

( Addition on inequality doesn't affects the sign of inequality. )

=> x > 2 ........(4)

Now, from ineqn (3) and (4), we have,

x > 2 and x < 4

Therefore, the common solutions will be,

2 < x < 4.

Hence, the solution is x € (2,4)