Solve each inequality below using the Addition principle. Draw a graph of each solution set.
1 answer:
Answer:
x > 7
Step-by-step explanation:
Given
x - 7 greater than 0
Required
Solve as inequality and represent as a graph
greater than is represented with >
So, the equation is:
x - 7 > 0
Add 7 to both sides
x - 7 + 7 > 0 + 7
x > 0 + 7
x > 7
Next, the inequality is represented on a graph.
See attachment for graph
The shaded part of the graph represents the solution to the graph.
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The equation are true for x = -2 and x = 2.
The given equations are given as:
We need to select two equations that are true for x = -2 and x = 2.
<h3>What are the solutions to an equation ?</h3>
The solutions of an equation are the values that satisfy the given equation or make the equation true when substituted for unknowns in the equations.
Example:
x - 2 = 2
Here the solution for x - 2 = 2 is 4 because x = 4 will make the equation true.
4 - 2 = 2
2 = 2
Let's find the solutions for each equation.
1.
= 4
x = = ± 2
x = = 2 and x = -2
2.
x =
x = =
x = ± 2
x = 2i and x = -2i where i =
3.
3 + 12 = 0
= -12 / 3 = -4
x =
x = ± 2
x = 2i and x = -2i
4.
4 = 16
= 16 / 4
= 4
x =
x = ±2
x = 2 and x = -2
5.
x - 2 = 0
x = 2.
Thus the equation have solutions x = -2 and x = 2.
Learn more about solutions of equations here:
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Ans: The correct answer is: 16x^2 + 24x + 9
Explanation:
Since,
Area =
Where
y = 4x+3
So
Area =
Area = 16x^2 + 24x + 9
Explanation:
Since,
Area =
Where
y = 4x+3
So
Area =
Area = 16x^2 + 24x + 9