Answer:
x ≥ 6.
Step-by-step explanation:
Given : Kathy swims at least 6 laps every day.
To find: Write an inequality to show how long Kathy swims each day.
Solution : We have given that Kathy swims at least 6 laps every day.
We can see from given statement Kathy can swim 6 laps or greater then 6 laps in a day.
Then we use greater than or equal to sign ( for at least)
Since x ≥ 6.
Therefore, x ≥ 6.
Answer:
A. The reference angle should be pi/3, and the sign of the value should be negative.
Step-by-step explanation:
Just took the unit review.
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 4
Answer:
6 feet
Step-by-step explanation:
Let x represent the length of "another side." Then "one side" is ...
2x -10 . . . . . . 10 feet shorter than twice another side
The sum of these two side lengths is half the perimeter, so is ...
x + (2x -10) = 14 . . . . . two sides are half the perimeter
3x = 24 . . . . . . . . . . . . add 10, collect terms
x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x
(2x -10) = 2·8 -10 = 6 . . . . find "one side"
We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.
<h3>Given</h3>
x + 2 ≥ 6
<h3>Find</h3>
the graph for the solution
<h3>Solution</h3>
We can solve for x by subtacting 2 from both sides of the inequality.
... x + 2 -2 ≥ 6 -2
... x ≥ 4 . . . . . . . . . . simplify
The answer is read, "x is greater than or equal to 4." This means the solution is those real numbers that are to the right of 4 on the number line, and including 4 on the number line. Numbers to the left of 4 are <em>not included</em>. The inclusion of the number 4 is shown by putting a solid dot there (not an open circle).
The appropriate choice is the 3rd one.
