The inequality |3-4| > 3 is equivalent to O (A) -3 7 O (D) x < -1 or 2 >7 O (E) r < 1 or r > 7​

Explanation:

Rule: if |x| > k, then x < -k or x > k

Using that rule for the given inequality means we have these steps

|x-4| > 3

x-4 < -3  or x-4 > 3

x < -3+4 or x > 3+4

x < 1  or  x > 7 choice E

Here's a visual way to see why this is the case.

|x-4| represents the distance from x to 4 on the number line.

When we say |x-4| > 3, we want to know which points are more than 3 units away from 4 on the number line.

We can plot 4 on the number line, and then measure 3 units below it (to get to 1) and then 3 units above it (to get to 7). If we're in the region 1 < x < 7, then we're within 3 units of 4 on the number line. Otherwise, we're more than 3 units away from the target we're after.

chase is right because he already been to the swings and he know how far it will be to get there

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it