Question
Solve (x + 1 < 5) ∩ (x - 4 > -3).
{all real numbers}
{x | 1 < x < 4}
{x | x < 4 or x > 1}
{all real numbers}
{x | 1 < x < 4}
{x | x < 4 or x > 1}
Asked by: USER3475
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131 Answers
Answer (131)
[tex](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{\{x\,|\,1\ \textless \ x\ \textless \ 4\}} [/tex]
Answer:
{ x | 1 < x < 4}
Step-by-step explanation: