Answer:
No solutions
Step-by-step explanation:
Solve for x the system of two inequalities:

First, solve each inequality separately:
1.

2.

Now, we get

and

There are no common values for x, for which both inequalities hold, so the system of two inequalities has no solutions.
When dealing with roots, we want to factor to see if it's possible






now since we're dealing with square roots, we circle every pair of numbers we see in the final factoring
so..

now for every circled pair, we take only 1 of the 2 circled and bring it outside
anything left uncircled stays inside the root
so..

now simply multiply
Answer:
The smallest solution is -6
Step-by-step explanation:
2/3 x^2=24
Multiply by 3/2 on each side
3/2 *2/3 x^2=24 *3/2
x^2 = 36
Take the square root of each side
sqrt(x^2) = ±sqrt(36)
x = ±6
x = -6, 6
The smallest solution is -6
The solution to the inequality is x > 3
The number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
<h3>Linear Inequalities </h3>
From the question, we are to determine the number line that represents the solution set for the given inequality
The given inequality is
3(8 – 4x) < 6(x – 5)
First, we will solve the inequality
3(8 – 4x) < 6(x – 5)
Clear the brackets
24 - 12x < 6x - 30
Collect like terms
24 + 30 < 6x + 12x
54 < 18x
Divide both sides by 18
3 < x
∴ x > 3
Hence, the number line that represent the solution set will be:
<em>A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right</em>. The correct option is the second option
Learn more on Linear inequalities here: brainly.com/question/28003708
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Answer: Look below. I hope this helps=3
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