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Solve (x + 1 < 5) ∩ (x - 4 > -3).

{all real numbers}
1 < x < 4
x < 4 or x > 1

User Santhosh
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2 Answers

5 votes

Answer:

1 < x < 4

Explanation:

User Jerry Nixon
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(x + 1 \ \textless \ 5)\,\cap\,(x - 4 \ \textgreater \ -3)\\\\(x\ \textless \ 5-1)\,\cap\,(x\ \textgreater \ -3+4)\\\\(x\ \textless \ 4)\,\cap\,(x\ \textgreater \ 1)\\\\(-\infty;4)\,\cap\,(1;\infty)\\\\(1;4)\\\\\\\boxed{\\,1\ \textless \ x\ \textless \ 4\}
User Adolphus
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