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MissTica
3 years ago
8

Solve the compound inequality 2x > –10 and 3x < 24.

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

For this case we have the following inequalities:

2x> -10 intersected with 3x

So:

2x> -10

Dividing between 2 on both sides:

x> - \frac {10} {2}\\x> -5

The solution is given by all values of strict x greater than -5.

On the other hand we have:

3x

Dividing between 3 on both sides:

x

The solution is given by all values of x less strict to 8.

Intersecting the solutions we have:

(-5,8)

Answer:

-5

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