Philip uses 60ft of fencing to build a rectangular dog run. one side of the rectangle is the wall of philip's house. which will not need fencing. the total area of the dog run must be at least 440 square feet. what inequality can be solved to find x, the length in feet of the dog run?

x(60 - 2x) ≥ 440

Step-by-step explanation:

Let the wall of Philip's house is along the width of the rectangular dog run.

Let us assume that the length is L and the width is W.

Then given that  

2L + W = 60 (1)

Now, again, it is given that LW ≥ 440

⇒ L(60 - 2L) ≥ 440

⇒ x(60 - 2x) ≥ 440 {Where L = x}

Therefore, this is the inequality that can be solved to find x, the length in feet of the dog run. (Answer)

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

x + 4/7

step-by-step explanation:

use cymath