# Inequalities HELP!

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#1
I’m so confused on the answers to D & F. for both I got the answer as being no values satisfy both inequalities and that’s true for D but for F, apparently it isn’t? How come? The answers for F are 6/5 and 22/10 and on the number line they don’t cross. The answers for D were 7 and 8 and they didn’t cross either but the answer for that was no values. I’m so confused, help!!
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2 years ago
#2
(Original post by alevels2020)
I’m so confused on the answers to D & F. for both I got the answer as being no values satisfy both inequalities and that’s true for D but for F, apparently it isn’t? How come? The answers for F are 6/5 and 22/10 and on the number line they don’t cross. The answers for D were 7 and 8 and they didn’t cross either but the answer for that was no values. I’m so confused, help!!
D) The statement here uses 'and' which means we seek values of for which both inequalities are true at the same time.

So, from solving both inequalities, we seek the values of which satisfy both and . Clearly, no such exist.

F) The statement here uses 'or' which means we seek values of for which either inequality holds (or both).

So the first inequality is true when , and the second inequality is true when . As long as falls into either of these categories, at least one of the inequalities is satisfied hence the statement is true.
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#3
(Original post by RDKGames)
D) The statement here uses 'and' which means we seek values of for which both inequalities are true at the same time.

So, from solving both inequalities, we seek the values of which satisfy both and . Clearly, no such exist.

F) The statement here uses 'or' which means we seek values of for which either inequality holds (or both).

So the first inequality is true when , and the second inequality is true when . As long as falls into either of these categories, at least one of the inequalities is satisfied hence the statement is true.
ahh, thank you!
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