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HACTEHA [7]
1 year ago
13

Supplemental Activities - Ch 1

Mathematics
1 answer:
Deffense [45]1 year ago
8 0

x \geq -9; x \leq 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:

-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}

-9 \leq x \leq 6

or

x \geq -9; x \leq 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

#SPJ9

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