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How do you solve and graph #-5x-4<-1.4# or #-2x+1>11# ?

Answer 1

Isaiah Anthony

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Answer 2

Isaiah Anthony

To solve the compound inequality -5x - 4 < -1.4 or -2x + 1 > 11, you first solve each inequality separately and then combine the solutions. For the first inequality, -5x - 4 < -1.4: -5x - 4 < -1.4 -5x < -1.4 + 4 -5x < 2.6 x > 2.6/-5 x > -0.52 For the second inequality, -2x + 1 > 11: -2x + 1 > 11 -2x > 11 - 1 -2x > 10 x < 10/-2 x < -5 So, the solution for the compound inequality is: x > -0.52 or x < -5 To graph the solution, you would plot an open circle at -0.52 on the number line and shade to the right (indicating all values greater than -0.52), then plot an open circle at -5 and shade to the left (indicating all values less than -5).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and graph #-5x-4&lt;-1.4# or #-2x+1&gt;11# ?

How do you solve and graph #-5x-4<-1.4# or #-2x+1>11# ?