Answer:
A. x ≤ -2 or x > 3
Step-by-step explanation:
The number line shows two possible values of x which represents a compound inequality.
There are two arrows in opposite direction on the number line.
The arrow that starts at -2 and goes to your far left, has a shaded small circle "o". This connotes that -2 is included in the possible values of x. Thus, this means the possible value of x is equal to -2 or less than -2 ==> x ≤ -2.
The other arrow starts at 3 and has an unshaded small "o", implying that 3 is not included in the possible values of x. Thus, x > 3.
The compound inequality in the graph indicates either statement is true, since each solution do not overlap, hence, the word to use here would be "OR", showing a union.
Therefore, the solution of the compound inequality would be x ≤ -2 or x > 3.
Answer: The length is 13 inches and the width is 11 inches.
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the area of a rectangle is expressed as
Area = LW
The area of the rectangle is 143 square inches. This means that
LW = 143 - - - - - - - - - - - - --1
The rectangle's length is 2 in more than its width. This means that
L = W + 2
Substituting L = W + 2 into equation 1, it becomes
W(W + 2) = 143
W² + 2W - 143 = 0
W² + 13W - 11W - 143 = 0
W(W + 13) - 11(W + 13) = 0
W + 13 = 0 or W - 11 = 0
W = - 13 or W = 11
Since the width cannot be negative, it means that W = 11
L = W + 2 = 11 + 2
L = 13
They are both 40 lol, it’s the same