Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
1 answer:
The option second "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" is correct.
<h3>What is inequality?</h3>It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
The options are attached in a picture please refer to the attached picture.
We have an inequality:
3(8 – 4x) < 6(x – 5)
After solving:
8 - 4x < 2(x - 5)
8 - 4x < 2x - 10
8 + 10 < 2x + 4x
18 < 6x
3 < x or
x > 3
x ∈ (3, ∞)
Thus, the option second "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" is correct.
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Answer:
x = 12
Step-by-step explanation:
The segment from the vertex to the base is a perpendicular bisector.
Using Pythagoras' identity on the right triangle on the right.
( x )² + 3² = (
)² , that is
x² + 9 = 45 ( subtract 9 from both sides )
x² = 36 ( multiply both sides by 4 )
x² = 144 ( take the square root of both sides )
x = = 12