Question

Number line and Interval Notation
Solve. Present your solution on a number line and interval notation : -4x+13≤9 or 6-5x ≥21

Answer 1

Are you having trouble with the solving part, the graphing part, or the interval notation part?

Answer 2

Solving it ,Also graphing the number line and interval notation

Answer 3

When I solved it ,I wasnt sure of my answer ,This is what I got for my final answer for solving
x≤-3

Answer 4

That is the solution to the second inequality; what about the first?

Answer 5

x≥1

Answer 6

Great! Now draw a number line and label points -3, 0, and 1.
Since x can equal those numbers, use a closed circle at the point, then shade (or use arrows) in the direction of the inequality sign.

Answer 7

I have tried to draw the line but I am having difficult in it and also the interval notation ,So I will need your help in that so as I can use your step in doing it for future reason .
Help me to plot the number line and the interval notation

Answer 8

I'll show the interval notation first, as that is likely more difficult if you haven't seen it before. For example if the inequality is strictly less than or greater than as in 3 < x < 5, then use round brackets - parentheses - ( ), if the variable can equal the value, then use square brackets, [ ].
For the 3 < x < 5 example, x is between 3 and 5 but doesn't equal either, so the interval is (3, 5).

Answer 9

It's important to know that a variable never equals infinity, so always use round brackets for ±∞
In your case, there are two intervals, one from -∞ to -3 and another from 1 to ∞

Answer 10

Use the union symbol U between sets to show that the variable is in one or the other.

Answer 11

For the number line, start with


Then label as appropriate.

Answer 12

so the internal notation will (-∞,1)u(∞,-3} that what I got .If not help me with the internal notation

Answer 13

Are you there