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andrew11 [14]
1 year ago
7

given which of the following describes the boundary line and shading for the second inequality in the system

Mathematics
1 answer:
11Alexandr11 [23.1K]1 year ago
8 0

Answer:

Solid Line, Shade Above

Explanation:

Given:

\left\{\begin{array}{l}
y

The second inequality in the system is:

y\geq x-4

The intercepts of the boundary line (y=x-4) are (0, -4) and (4,0).

Since the inequality has an equal to sign attached, we use a solid line.

At (0,0)

\begin{gathered} y\geq x-4 \\ 0\geq-4 \end{gathered}

Since the inequality 0≥-4 is true, shade the side that contains (0, 0) as shown in the graph below:

So, we use a solid line and shade above the boundary line.

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The equivalent value of the expression is -7

<h3>Modulus of a function</h3>

The modulus of an expression of value is equal to the positive of such function or value.

Given the expression

2(2.5 - |-6|)

Since the value of -6 is a modulus, the expression will become;

2(2.5 - |-6|) = 2(2.5) - 2(6)

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2(2.5 - |-6|) = -7

Hence the equivalent value of the expression is -7

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