alevels2020
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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!!Name:  FACA4F92-F476-456E-BB17-B07A3513C259.jpg.jpeg
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RDKGames
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(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 x for which both inequalities are true at the same time.

So, from solving both inequalities, we seek the values of x which satisfy both x < 7 and x > 8. Clearly, no such x exist.



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

So the first inequality is true when x < \dfrac{6}{5}, and the second inequality is true when x > \dfrac{22}{10}. As long as x falls into either of these categories, at least one of the inequalities is satisfied hence the statement is true.
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alevels2020
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(Original post by RDKGames)
D) The statement here uses 'and' which means we seek values of x for which both inequalities are true at the same time.

So, from solving both inequalities, we seek the values of x which satisfy both x < 7 and x > 8. Clearly, no such x exist.



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

So the first inequality is true when x < \dfrac{6}{5}, and the second inequality is true when x > \dfrac{22}{10}. As long as x 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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