Question 1131863

Abner got a building permit for a shed that limits its height to a maximum of 9.5 ft above the surface of the ground. He poured an above-ground foundation that was 4 inches thick, and the flat roof will add 6 inches to the height of the wall. He is going to build with concrete blocks that are 8 inches high (including the mortar). 

a. Write an inequality to calculate how many rows


let number of  the rows be {{{x}}}
if blocks that are {{{8in}}} inches high, than we have {{{(8in)x}}}
he poured an above-ground foundation that was {{{4in}}}  thick
add that to {{{(8in)x+4in}}}
and the flat roof will add {{{6 }}}inches to the height of the wall
{{{(8in)x+4in+6in}}}=>{{{(8in)x+10in}}}

since height is limited to a maximum of {{{9.5ft}}} above the surface of the ground,

{{{(8in)x+10in<9.5ft}}}


b. 
Solve the inequality

{{{(8in)x+10in<9.5ft}}}-> convert ft to in

{{{(8in)x+10in<9.5*12in}}}

{{{(8in)x+10in<114in}}}

{{{(8in)x<114in-10in}}}

{{{(8in)x<104in}}}

{{{x<104cross(in)/(8cross(in))}}}

{{{x<104/8}}}

{{{x<13}}}


c. 
Draw a number line and plot the solution set.

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