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atroni [7]
3 years ago
14

Solve the compound inequality. 4 x - 6 ≥ −10 or 3 x +5 ≤ −10

Mathematics
1 answer:
mixas84 [53]3 years ago
3 0
Hello : 
<span> 4 x - 6 ≥ −10  .....(1)
 or
 3 x +5 ≤ −10 ....(2)
(1) : 4x </span>≥ -4
   x ≥ -1 
(2) : 3x ≤ -15
x ≤ -5
conclusion : x ≤ -5 or  x ≥ -1 
the set solution is :   ] -∞, - 5 ] ∪<span>[-1,+∞[</span>

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Misha Larkins [42]

The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0 is 16/3 or 5.333 square units.

<h3>What is an area bounded by the curve?</h3>

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Then the area bounded by the curves will be

\rm Area = \int _{-1}^1 (y_1-  y_2) dx\\\\Area = \int _{-1}^1 (4 - 4x^2) dx\\\\Area = \left [ 4x  - \dfrac{4x^3}{3} \right ]_{-1}^1\\\\Area = 4 \left ( 1 + 1 \right ) - \dfrac{4}{3} \left ( 1^3 - (-1)^3 \right )\\\\Area = 8 - \dfrac{8}{3}\\\\Area = \dfrac{16}{3} = 5.333 \

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

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