Solve. Write in interval notation. 15-3|x-4|<18

2 answers:

5 0

Hi,

Solving:

$15 - 3 |x - 4| < 18 \\ - 3 \times |x - 4| < 18 - 15 \\ - 3 \times |x - 4| < 3 \\ 3 \times |x - 4| > - 3 \\ x \in r$

Answer: The statement is true for any value of x.

Hope this helps.
r3t40

GuDViN [60]3 years ago

5 0

$15-3|x-4|$

You might be interested in

Two sequences have the formulae 3n - 1 and 7n + 2. A new sequence is formed by the numbers which appear in both of these. Determ

Sonja [21]

Answer:

Two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences.

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F

Sophie [7]

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC (∵Corresponding angles)

∠BED=∠BCA (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ $\frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}$