Question

For which of the following compound inequalities is there no solution? -5m<20 and 6m>-18,

Answer 1

[AI-generated answer — Bot GPT 3.5]

There is no solution for the compound inequality -5m < 20 and 6m > -18.

To find the solution, we need to solve each inequality separately and then find the intersection of the solutions.

For the first inequality, -5m < 20, we divide both sides by -5 to solve for m:

m > -4

For the second inequality, 6m > -18, we divide both sides by 6 to solve for m:

m > -3

Now we need to find the intersection of the two solutions, which means finding the values of m that satisfy both inequalities.

The intersection of m > -4 and m > -3 is m > -3.

Therefore, the compound inequality -5m < 20 and 6m > -18 has no solution.