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Which number line shows all the values of x that make the inequality -3x+1<7 true?

Which Number Line Shows All The Values Of X That Make The Inequality 3x1lt7 True class=

Sagot :

lijunyi961

Answer: the answer is b

Step-by-step explanation: because open is< or >

The number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

What is the number line?

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

The given inequality in the problem is,

[tex]-3x+1 < 7[/tex]

Subtract 1 both side of the equation and solve it further,

[tex]-3x+1-1 < 7-1\\-3x < 6[/tex]

Divide with number 3,

[tex]-x < \dfrac{6}{3}\\-x < 2[/tex]

Change the sign of the inequality by filliping the inequality sign,

[tex]x > -2[/tex]

Here, the inequality is greater than the number negative 2. The value of x is greater than, thus, the arrow will point towards left and there will be open circle. This is shown in the option D.

Thus, the number line which shows all the values of x that make the provided inequality -3x+1<7 true is shown in number line D.

Learn more about the number line here;

https://brainly.com/question/24644930

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