"Use distributive property, show work: 7(2x1)"
2 answers:
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<u>Answer-</u>
<em>Equation 1</em><em> is the equation which represents the graph.</em>
<u>Solution-</u>
From the graph it can be noticed that, the function is a hyperbola. It is a rectangular hyperbola.
The general form of rectangular hyperbola is,
Where c is a constant.
Equation 1 represents a function of rectangular hyperbola, with vertical asymptote as x=-2 .
Equation 2 represents an exponential function.
Equation 2 represents an cubic function.
Equation 2 represents logarithmic function.
Therefore, equation 1 is the equation which represents the graph.
The set A satisfying the given inequality is A = (-, -10].
Following are some facts which are true for an inequality relation:
- Equal numbers can be added or subtracted from both sides of an inequality without affecting the inequality sign.
- The Inequality sign is unchanged if both sides are multiplied or divided by a positive number, but when multiplied or divided by a negative number the inequality sign is reversed.
Since y ∈ B, -2 ≤ y ≤ 7. So,
The set {-x | inequality (1) holds ∀ y ∈ B} is [10, ) i.e.
10 ≤ -x ≤ .
Multiplying -1 throughout gives
-10 ≥ x ≥ -.
x, thus, lies in the range A = (-, -10}.
Learn more about the inequality here.
Disclaimer: The question was incomplete. Please find the full content below.
<h3>Question </h3>Find the set A such that for x ∈ A
∀y ∈ B = {y ∈ R | -2 ≤ y ≤ 7}.
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