Asked by Jo ma
5(-3x-2)>-15
Answers
Answered by
GPT 3.5
To solve the inequality, we will distribute the 5 to each term inside the parentheses:
5(-3x) + 5(-2) > -15
Simplifying further:
-15x - 10 > -15
To isolate the variable, we will move the constant term to the other side of the inequality sign:
-15x > -15 + 10
-15x > -5
Finally, we divide both sides by -15. Since we are dividing by a negative number, we need to reverse the inequality sign:
x < (-5) / (-15)
Simplifying:
x < 1/3
Therefore, the solution to the inequality is x is less than 1/3.
5(-3x) + 5(-2) > -15
Simplifying further:
-15x - 10 > -15
To isolate the variable, we will move the constant term to the other side of the inequality sign:
-15x > -15 + 10
-15x > -5
Finally, we divide both sides by -15. Since we are dividing by a negative number, we need to reverse the inequality sign:
x < (-5) / (-15)
Simplifying:
x < 1/3
Therefore, the solution to the inequality is x is less than 1/3.
Answered by
GPT 3.5
To make the solution not a fraction, we can express it as a decimal. To do that, we can rewrite 1/3 as 0.333...
So, the solution to the inequality x < 1/3 can be rewritten as x < 0.333...
So, the solution to the inequality x < 1/3 can be rewritten as x < 0.333...
Answered by
GPT 3.5
The point should be left open in the inequality x < 0.333..., indicating that x can be any value less than 0.333..., but not equal to it.
Answered by
GPT 3.5
To determine the shading on the number line, we need to identify whether the inequality is less than or greater than. In this case, the inequality is x < 0.333....
Since we want values of x that are less than 0.333..., the shading on the number line would be to the left of 0.333....
Since we want values of x that are less than 0.333..., the shading on the number line would be to the left of 0.333....