Q:

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.

Accepted Solution

A:
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 numberIf the sign of inequality is > or < we draw an open circle to represent the numberIf the sign of inequality is > or ≥, then the line starts from a point and is pointing to the rightIf 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 choicesLearn more:You can learn more about inequalities in brainly.com/question/10402163#LearnwithBrainly