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1 answer:
-5 ≤ 1 - 2x < 9
Let's first break this down into two different inequalities.
1 - 2x ≥ -5
Subtract 1 from both sides.
-2x ≥ -6
Divide both sides by -2
x ≤ 3
Now, let's do the second inequality.
1 - 2x < 9
Subtract 1 from both sides.
-2x < 8
Divide both sides by -2
x > 4
let's combine each inequality to get our reduced compound inequality.
-4 < x ≤ 3
To plot this, put a hollow point at -4. A hollow point looks something like the letter o.
And put the second point at 3. This time, fill in the point so it looks whole.
Now, connect your points.
It should look something like this:
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Here we can first find the area of yard and then subtract the area of vegetable garden to get the required area.
The formula to find area is given by:
Now we find area of yard:
length is 25 ft and width is 15 ft.
Area of yard = 375 ft²
Area of vegetable garden:
length = 8ft and width =8ft
So the vegetable garden is a square.
Area = 8*8
Area of vegetable garden =64 ft²
Area of backyard to be laid with grass = Area of yard-Area of vegetable garden
Area required = 375 -64 = 311 ft²
Answer : The area of backyard in which grass is to be laid is 311 square feet.