Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x?

A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.

Respuesta :

The number line which represents the solution of 2.5 -1.2 x < 6.5 - 3.2 x is " A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 2 and is pointing to the left "

Step-by-step explanation:

On the number line, when we represent the solution of an inequality:

  • If the sign of inequality is ≥ or ≤ we draw a black circle to represent the number
  • If the sign of inequality is > or < we draw an open circle to represent the number
  • If the sign of inequality is > or ≥, then the line starts from a point and is pointing to the right
  • If the sign of inequality is < or ≤, then the line starts from a point and is pointing to the left

∵ 2.5 -1.2 x < 6.5 - 3.2 x

- Add 3.2 x to both sides

∴ 2.5 + 2 x < 6.5

- Subtract 2.5 from both sides

∴ 2 x < 4

- Divide both sides by 2

∵ x < 2

∴ The solution of the inequality is x < 2 ⇒ all numbers less than 2

∵ The sign of inequality is <

- By using the points above

∴ The solution represented on the number line by an open circle

   is at 2 and the line starts at 2 and pointing to the left

The number line which represents the solution of 2.5 -1.2 x < 6.5 - 3.2 x is " A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 2 and is pointing to the left "

The answer is not in the choices

Learn more:

You can learn more about inequalities in brainly.com/question/10402163

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Answer:

C

Step-by-step explanation:

Your answer in simpler terms is c or the 3rd one this is for edge 2021-2020

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