Respuesta :
The number line which line represents the solution set for the
inequality 3(8 - 4x) < 6(x - 5) is:
" 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 " ⇒ 2nd answer
Step-by-step explanation:
To solve an inequality
- Simplify each side
- Collect the variable terms in one side and the numerical terms in other side
- Solve to find the solution set
∵ 3(8 - 4x) < 6(x - 5)
- Simplify each side
∴ 24 - 12x < 6x - 30
- Add 12x to both sides
∴ 24 < 18x - 30
- Add 30 to both sides
∴ 54 < 18x
- Divide both sides by 18
∴ 3 < x
∴ The solution is all real numbers greater than 3
- That means a bold line started with an open circle at 3 and
pointing to the right
The number line which line represents the solution set for the
inequality 3(8 - 4x) < 6(x - 5) is:
" 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 "
Learn more:
You can learn more about solving inequalities in brainly.com/question/7490805
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