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Solve the inequality 􏰂|2x + 1|􏰂 < 3|􏰂x − 2|􏰂.

(2x+1) 2 &lt; 9(x-2) 2 4x 2 +4x+1 &lt; 9(x 2 -4x+4)4x 2 +4x+1 &lt; 9x 2 -36x+360 &lt; 5x 2 -40x+35Apply quadratic equation solving formula (40+30)/10=7 and (40-30)/10=1hence x&lt;1 and x&gt;7
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Answered by Alejandra T. • Maths tutor
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List two primary and two secondary impacts of volcanic activity giving detail of each

Primary impacts are those that affect the area in close proximity to the volcano immediately after a volcanic event. A first impact is that of the release of tephra which is solid material that can range in ...
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Answered by Izzy F. • Geography tutor
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3-Methylpent-2-ene (CH3CH=C(CH3)CH2CH3) reacts with Hydrogen Chloride(HCl) forming a major and minor product. Please name the reaction, draw the mechanism for the formation of the major product and briefly explain why there is a major and a minor product.

This is an example of electrophilic addition.(It's easier to explain with the mechanism drawn) The mechanism proceeds by electrophilic attack of the Hydrogen in HCl originating from the double bond in 3-meth...
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Answered by Edward H. • Chemistry tutor
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How does smoking affect gas exchange in the lungs?

Firstly, think of what you already know about the structure of the lungs and how that makes them so effective at their job. (Elasticity, large surface area for gas exchange, high gradient and short diffusion...
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Answered by Esther E. • Biology tutor
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The curve C has equation y=3x^3-11x+1/2. The point P has coordinates (1, 3) and lies on C . Find the equation of the tangent to C at P.

In order to find the gradient of a tangent to the curve C we must differentiate our equation for C.dy/dx= 9x 2 -11To find the gradient of a tangent at a specific point P we substitute the coordinates of P in...
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Answered by Chloe W. • Maths tutor
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