Solve the inequality. Graph the solution set and write it in interval notation.
x - 4 >= - 11
Write the answer in interval notation.
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The solution to the inequality x - 4 >= -11 can be found by adding 4 to both sides of the inequality:
x - 4 + 4 >= -11 + 4
x >= -7
To graph the solution set, we plot all real numbers on a number line that are greater than or equal to -7. We can use a closed circle to represent -7, and draw an arrow to the right to indicate all numbers greater than -7.
The solution set in interval notation is (-7, infinity).
To solve the inequality x - 4 >= -11, we need to isolate the variable x.
First, we can add 4 to both sides of the inequality:
x - 4 + 4 >= -11 + 4
x >= -7
The solution set for this inequality is all values of x that are greater than or equal to -7.
Graphically, this means that all values to the right of -7 on the number line are included in the solution set.
In interval notation, the solution set can be written as:
[-7, +∞)
To solve the inequality x - 4 >= -11, we need to isolate the variable x.
First, we add 4 to both sides of the inequality:
x - 4 + 4 >= -11 + 4
This simplifies to:
x >= -7
Now we can graph the solution set on a number line. Since x is greater than or equal to -7, we draw a closed circle at -7, indicating that -7 is included in the solution set. Then we draw an arrow to the right, representing all values greater than -7.
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Finally, we write the solution set in interval notation. Since -7 is included in the solution set and it continues indefinitely to the right, the interval notation for this solution is [-7, ∞). The square bracket indicates that -7 is included, and the infinity symbol (∞) indicates that the numbers continue indefinitely to the right.