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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