All categories

3 years ago

Solve the inequality using the algebraic approach: x+2>3x-8

1 answer:

4 0

X + 2 > 3x - 8
subtract x from both sides

2 > 2x - 8
add 8 to both sides

10 > 2x
divide both sides by 2

5 > x

ANSWER: 5 > x

Hope this helps! :)

You might be interested in

Select the correct answer from each drop-down menu. y = x2 + 2x − 1 y − 3x = 5 The pair of points representing the solution set

katen-ka-za [31]

ANSWER

(-2,-1)

(3,14)

EXPLANATION

The given system is

$y = {x}^{2} + 2x - 1$

$y - 3x = 5$

$y = 3x + 5$

Equate both of them:

${x}^{2} + 2x - 1 = 3x + 5$

This implies that,

${x}^{2} - x - 6 = 0$

$(x - 3)(x + 2) = 0$

x=-2 or x=3

When x=-2, y=y=3(-2)+5=-1

(-2,-1) is a solution.

When x=3 , y=3(3)+5=14

(3,14) is also a solution.

7 0

3 years ago

A line segment has the endpoints P(4, 7) and Q(6, 7). Find the coordinates of its midpoint M.

tatuchka [14]

Answer:

(5, 7)

Step-by-step explanation:

M = (x1 + x2/2 , y1 + y2/2)

M = ( 4 + 6 /2 , 7 + 7 / 2)

M = 5, 7

4 0

2 years ago

Three people become infected with a virus that spreads quickly. Each day that passes, the number of infected people doubles. How

Natali [406]

Answer: raise 2 to the number of days, and then multiply this value by 3.

Step-by-step explanation:

8 0

2 years ago

An ice cream stand offers single-scoop waffle-cones or bowls. Three flavors are available: strawberry, chocolate, and vanilla. H

Otrada [13]

ANSWER:

STEP-BY-STEP EXPLANATION:

We have two toppings, the first is the ice cream container where there are two options and the second is the ice cream flavor where there are a total of three options.

Therefore, the number of possible ways to order ice cream would be:

$\begin{gathered} p=2\cdot3 \\ \\ p=6 \end{gathered}$

There are a total of 6 ways to order an ice cream

4 0

9 months ago

The teachers union in california wants to know the average salary for high school teachers throughout the country. what will the

MAVERICK [17]

What is asked is the average salary for high school teacher throughout the country. Naturally, the salary data will be in a range and that range will be significant. The data that will be calculated will be the median of the salary and not the mean.<span />

5 0

2 years ago