# Problems from Introduction and properties of inequations

Check if the following inequalities are true or false:

1. $$103 > 25$$

2. $$-62 > 4.5$$

3. $$42 \leqslant \dfrac{84}{2}$$

4. $$-4 > -5$$

5. $$1 > 1$$

6. $$0 < 3 < -3.1$$
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### Development:

1. $$103$$ is greater than $$25$$.
2. $$-62$$ is a negative number, so it is less than $$4.5$$ (nombre positiu).
3. $$84$$ divided by $$2$$ is $$42$$, hence the expression is correct: $$42$$ is equal to $$42$$.
4. $$-4$$ is greater than $$-5$$ (since the numbers are negative).
5. $$1$$ is equal to $$1$$, but $$1$$ is not greater than $$1$$, in any case, it would be correct if we said that $$1$$ is greater than or equal to $$1$$.
6. In this case, we have a double inequality. We have to check that both inequalities are true: $$0$$ is less than $$3$$, but $$3$$ is not less than $$-3.1$$ since this is a negative number. Consequently, the expression is false.

### Solution:

1. True.

2. False.

3. True.

4. True.

5. False.

6. False.
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