For which of the following compound inequalities is there no solution?

The correct option is 1.

Step-by-step explanation:

On solving both equations of option 1.

From first equation the value of m is less than or equal to -8.

From second equation the value of m is greater than -5. Therefore option have no common solutions.

On solving equation both equations of option 2, we get

Divide both sides by -3. When we divide the inequality by a negative number, then we have to change the sign of inequality.

Since m is greater than or equal to 0 and 5, therefore option 2 have common solution . So, the second option is incorrect.

On solving equation both equations of option 3, we get

Since m is greater than -1 and 2, therefore option 3 have common solution . So, the third option is incorrect.

On solving equation both equations of option 4, we get

Since m is less than -4 and less than or equal to -3, therefore option 4 have common solution . So, the fourth option is incorrect.

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a. is correct