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Soue se compound inequality and give your answer in intentel notation- 10 AND-80-72-1

Soue se compound inequality and give your answer in intentel notation- 10 AND-80-72-1-example-1
User Mllm
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1 Answer

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17 votes

S= (-4, 1 ]

1) Solving that compounded inequality

4x +6 > -10 and -8x+7 ≥ -1

2) Let's start by 4x +6 > -10

4x +6 > -10 Subtracting 6 from both sides

4x > -10-6

4x > -16 Dividing both sides by 4

x > -4

And with -8x+7 ≥ -1

-8x+7 ≥ -1 Subtract 7 from both sides

-8x ≥ -1 -7

-8x ≥ -8 Multiply by -1

8x ≤ 8

x ≤ 1

3) Graphing the solution interval:

So the solution is the interval S= (-4, 1 ] not including x= -4 and including the value x = 1

Soue se compound inequality and give your answer in intentel notation- 10 AND-80-72-1-example-1
User AnasSafi
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