SOLUTION: having trouble with this question. Thanks! 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 a

Algebra ->  Number-Line -> SOLUTION: having trouble with this question. Thanks! 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 a      Log On


   



Question 1131863: having trouble with this question. Thanks!

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
of block he can lay without the shed exceeding the maximum height permitted.


b.
Solve the inequality


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

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

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 %288in%29x
he poured an above-ground foundation that was 4in thick
add that to %288in%29x%2B4in
and the flat roof will add 6+inches to the height of the wall
%288in%29x%2B4in%2B6in=>%288in%29x%2B10in
since height is limited to a maximum of 9.5ft above the surface of the ground,
%288in%29x%2B10in%3C9.5ft

b.
Solve the inequality
%288in%29x%2B10in%3C9.5ft-> convert ft to in
%288in%29x%2B10in%3C9.5%2A12in
%288in%29x%2B10in%3C114in
%288in%29x%3C114in-10in
%288in%29x%3C104in
x%3C104cross%28in%29%2F%288cross%28in%29%29
x%3C104%2F8
x%3C13

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