It is given in the question that
Abbie decides to start doing crunches as part of her daily workout. She decides to do 10 crunches the first day and then increase the number 2 each day after that.
So the sequence of number of crunches are
Here the first term, a , ia 10 and the constant difference,d, is 2.
To find the nth term, we use the formula of nth term of arithmetic series, which is
Substituting the values of a and d, we will get
Therefore , correct option is d .
x -9; x
6 or in interval notation [-9,6]
To find out what are the steps in solving the below inequality:
Given equation is 2x - 3 > 15
The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.
−15≤2x-3≤15
First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:
−15−3≤2x-3−3≤15−3
−18≤2x-6≤12
−18≤2x-6≤12
Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:
-9 x
6
or
x -9; x
6
or in interval notation [-9,6]
on the horizontal axis.
The lines will be a solid line because the inequality operators contain "or equal to" clauses.
We will shade between the lines to show the interval:
Hence the steps to solve an inequality has been show
To learn more about inequalities click here brainly.com/question/24372553
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