How do you solve and graph #3w-5 < 13# or #2w-3 ≤ 3#?

Answer 1

Kennedy Adams

(1) #3x - 5 < 13 -> 3x < 18 -> x < 6#

(2) #2x - 3 <- 3 -> 2x <- 6 -> x <= 3#

==========|0========|3-----------|6------------

Note: The end point (3) is included in the solution set.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Kennedy Adams

To solve and graph the inequality (3w - 5 < 13) or (2w - 3 \leq 3), first solve each inequality separately, then combine the solutions.

For (3w - 5 < 13): (3w - 5 < 13) (3w < 13 + 5) (3w < 18) (w < 6)

For (2w - 3 \leq 3): (2w - 3 \leq 3) (2w \leq 3 + 3) (2w \leq 6) (w \leq 3)

Now, graph each solution on a number line:

For (w < 6), draw an open circle at 6 and shade to the left.
For (w \leq 3), draw a closed circle at 3 and shade to the left.

Since the inequality is "or," the solution is the combination of both graphs.

The combined graph will have an open circle at 6 and a closed circle at 3, shaded to the left of both circles.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and graph #3w-5 &lt; 13# or #2w-3 ≤ 3#?

How do you solve and graph #3w-5 < 13# or #2w-3 ≤ 3#?