1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vika [28.1K]
2 years ago
10

Solve the inequality. 4│x + 5│ - 2 ≤ 10

Mathematics
2 answers:
castortr0y [4]2 years ago
6 0

Step-by-step explanation: To solve this absolute value inequality,

our goal is to get the absolute value by itself on one side of the inequality.

So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.

Now divide both sides by 3 and we have |x + 5| ≤ 3.

Now the the absolute value is isolated, we can split this up.

The first inequality will look exactly like the one

we have right now except for the absolute value.

For the second one, we flip the sign and change the 3 to a negative.

So we have x + 5 ≤ 3 or x + 5 ≥ -3.

Solving each inequality from here, we have x ≤ -2 or x ≥ -8.

kati45 [8]2 years ago
3 0

Answer:

4x+20 -2<10

4x+18+10

4x+28

You might be interested in
What is the explicit formula for this sequence?<br> -7, -3, 1, 5, ...
alukav5142 [94]

Answer:

Step-by-step explanation:

a1 = - 7

d = 4

an = a1 + (n - 1) * d

an = - 7 + (n - 1) * 4

an = - 7 + 4n - 4

an = -11 + 4n

Try this out. Let n = 3

a3 = -11 + 4*3

a3 = - 11 + 12

a3 = 1   Which is what the series says.

8 0
2 years ago
Use the figure to find the measure of the numbered angles
ivanzaharov [21]

Answer:

angle 2, 4, 6 are 34 degrees

angle 7, 5, 1, 3 are 146 degrees

180-34= 146

5 0
2 years ago
Solve each triangle round to answers to the nearest tenth
Katyanochek1 [597]
Answer: i added them and i think it’s 60 but i’m not sure
8 0
3 years ago
Do i need to flip the reciprocal please explain your answer<br> 2y/2 &lt; 10/2
saul85 [17]

Answer:

\displaystyle \large \boxed{y < 5}

Step-by-step explanation:

We are given the Inequality:

\displaystyle \large{ \frac{2y}{2}  <  \frac{10}{2} }

First, we can simplify the expression. On the left side of Inequality, we can cancel 2; on the right side, we can cancel 2 out as well.

Simply, division!

\displaystyle \large{ \frac{ \cancel{2}y}{ \cancel{2}}  <  \frac{ \cancel{10}}{ \cancel{2} }}

2 divides 2 is 1; 2 divides 10 is 5.

\displaystyle \large{ \frac{1y}{1}  <  \frac{ 5}{ 1}}

Generally, it is not recommended to write 1 beside the variable nor write 1 as a denominator.

Simplify the expression:-

\displaystyle \large{ y  <  5}

Therefore, the value of y is less than 5.

Let me know if you have any questions after reading the explanation!

7 0
2 years ago
You started the trail with 500 lbs now you have 282 lbs of food. What is the percent of food left?
ella [17]

Answer:

under 50%

Step-by-step explanation:

i forgot how to get the excat percentage sorry :(

7 0
3 years ago
Other questions:
  • Bruce is going grocery shopping. he can go to the deli, the bakery, and the dairy section. How many possibilities are there for
    8·1 answer
  • When you shift a function, you are _______ it
    5·2 answers
  • Whats the squareroot of 144 needs to be simplified
    8·2 answers
  • Juan reads 3/4 chapters in 4/5 hours. What is the unit rate in chapters per hour?
    13·1 answer
  • How do i solve this kind of problem
    12·1 answer
  • 3 bananas and 1 apple cost £2.45 <br> 1 apple costs £0.35 <br> How much does 1 banana cost?
    15·2 answers
  • Help me pls. not links pls
    12·1 answer
  • Kevin is taking a two-part test in social studies
    7·1 answer
  • Use the substitution method to solve the system of equations. y = -8x 4x - y = 3 O AG-2 O B. (6-1 oc c. (6.-4 D. G-4​
    12·2 answers
  • An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d is 0.15 per second of time, t.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!