Thread: inequality

Give a negative value of p which satisfies the inequality p>=-5

Originally Posted by Faz

Give a negative value of p which satisfies the inequality p>=-5

Use the attached number line to find an appropriate value.

(Btw, it would help us very much if you could describe which difficulties you have to answer this question)

that means any value from -4 to -1 would be the answer....?

Yes any value from -4 to -1 would be he answer.

Would it not be -5 to -1, because it says greater then or equal to?

Originally Posted by Zabaf

Would it not be -5 to -1, because it says greater then or equal to?

yes -5 to -1 i didnt se the = sorry

Why stop at -1? Nothing is said about p being an integer. Any $\displaystyle 0> x\ge -5$ satisfies "p is a negative number such that $\displaystyle p\ge -5$.

it should be up to -1 as the question asked for negartive value.....thks guys.

Originally Posted by Faz

it should be up to -1 as the question asked for negartive value.....thks guys.

In the original problem there aren't any restrictions for p. Therefore p must be in the interval fom -5 to zero as HallsofIvy has already posted.

To be exact: $\displaystyle p \in [-5, 0)$ because -0.3 or -0.03 or -0.000003 are marvelously negative numbers.

Here is the right answer to your question.

Be careful, your interval finishes with 0 as beyond they are positive...and you're looking for a negative.

Here are included all numbers between -5 and 0 (included -5)

Notice that you can get infinitely close to a number without reaching it. How?

Simply:

-4.99999...999...(and you'll never reach -5. In this case we do though)

-0.00000...000...1 (and you can spend the rest of your life placing zeros in between and never reach to 0)

Best regards

Originally Posted by Alienis Back

Here is the right answer to your question.

Be careful, your interval finishes with 0 as beyond they are positive...and you're looking for a negative.

Here are included all numbers between -5 and 0 (included -5)

Notice that you can get infinitely close to a number without reaching it. How? Mr F says: Actually the correct word to use here is infinitesimally.

Simply:

-4.99999...999...(and you'll never reach -5. In this case we do though)

-0.00000...000...1 (and you can spend the rest of your life placing zeros in between and never reach to 0)

Best regards

..