All categories

2 years ago

Solve the following inequality algebraically. ∣x−5∣≤11

Mathematics

1 answer:

Serga [27]2 years ago

7 0

Answer:

-6 ≤ x ≤ 16

Step-by-step explanation:

First, apply absolute value rule:

x - 5 ≤ 11 and x - 5 ≥ -11

Then, we add 5 on both sides with both inequalities:

x ≤ 16 and x ≥ -6

Finally, combine the inequalities:

-6 ≤ x ≤ 16

And we're done ^^

You might be interested in

At ShopRite, chicken sells for $3.75 per pound. How much would it cost to buy 2.25 pounds of chicken?

nikdorinn [45]

Answer: 8.4375 U.S. dollars2

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

60°<br> 18<br> Solve for x. Round to the nearest<br> tenth.

weeeeeb [17]

Answer:

You need to include a picture or add more o the question because I can't solve it without the rest of the problem. All I know is 60 degrees and 18. But what is the 18?

Step-by-step explanation:

5 0

3 years ago

What is the equation of the line that passes through (4, 2) and is parallel to 3x – 2y = -6?

Dmitrij [34]

Answer:

y = $\frac{3}{2}$ x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - 2y = - 6 into this form

Subtract 3x from both sides

- 2y = - 3x - 6 ( divide all terms by - 2 )

y = $\frac{3}{2}$ x + 3 ← in slope- intercept form

with slope m = $\frac{3}{2}$

• Parallel lines have equal slopes, hence

y = $\frac{3}{2}$ x + c ← partial equation of parallel line

To find c substitute (4, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = $\frac{3}{2}$ x - 4 ← equation of parallel line

3 0

2 years ago

3. What is the converse of the following statement?If M is the midpoint of line segment PQ, then line segment PM is congruent to

Len [333]

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define the converse of a statement

The converse of a statement is formed by switching the hypothesis and the conclusion.

STEP 2: break down the given statements

Hypothesis: If M is the midpoint of line segment PQ,

Conclusion: line segment PM is congruent to line segment QM

STEP 3: Switch the two statements

Hence, the answer is given as:

If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,

6 0

1 year ago

Víctor claims that when 1/6 is divided by a fraction the result will always be greater than 1/6 find an example of a fraction th

Naddik [55]

Answer:

Step-by-step explanation:

Choose a random fraction less than 1. I will choose 1/4.

1/6 ÷ 1/4 = 1/6 × 4/1 = 4/6 = 2/3

2/3 > 1/6 so this example supports his claim.

Now chose a fraction greater than 1. I will choose 4/3

1/6 ÷ 4/3 = 1/6 * 3/4 = 3/24

3/24 < 1/6 so this contradicts his claim

6 0

2 years ago