Ask question

Ask question

All categories

3 years ago

14

Which is the solution set of the compound inequality 3.5 x -10> -3 and 8x -9 <39

2 answers:

aivan3 [116]3 years ago

7 0

3.5x-10>-3 add 10 to both sides

3.5x>13 divide both sides by 3.5

x>26/7

x=(26/7, +oo)

...

8x-9<39 add 9 to both sides

8x<48 divide both sides by 8

x<6

x=(-oo,6)

Since this is a compound inequality with AND the solution set will be the union of the two intervals found above.

x=(26/7, 6)

Zielflug [23.3K]3 years ago

7 0

Answer:

2<x<6

Step-by-step explanation:

I graphed it

You might be interested in

In a geometry class, the students were asked to prove the theorem below by contradiction.

Readme [11.4K]

<span>The contradiction term for "at most one obtuse angle" is "no obtuse angles
so therefore i conclude that the </span> statement she will most likely use as an assumption is
Let each angle of a triangle be acute
so option A is correct
hope it helps

4 0

3 years ago

Elza [17]

Answer:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

Step-by-step explanation:

Required

Which equals $x = 4$

$(a)\ 2x + 6 = 2$

Collect like terms

$2x = 2 - 6$

$2x = -4$

Divide both sides by 2

$x = -2$

$(b)\ 2x - 9 = -1$

Collect like terms

$2x = -1 + 9$

$2x = 8$

Divide both sides by 2

$x = 4$

$(c)\ -2x + 12 = 4$

Collect like terms

$-2x =- 12 + 4$

$-2x =-8$

Divide both sides by -2

$x = 4$

$(d)\ 2(x + 2) = 10$

Divide both sides by 2

$x + 2 =5$

Collect like terms

$x = 5-2$

$x = 3$

$(e)\ 2(x - 10) = -12$

Divide both sides by 2

$x - 10 = -6$

Collect like terms

$x = 10 - 6$

$x = 4$

Hence, the equations with the required solution are:

$(b)\ 2x - 9 = -1$

$(c)\ -2x + 12 = 4$

$(e)\ 2(x - 10) = -12$

3 0

2 years ago

Which property is shown?

solniwko [45]

Associative Property of Addition hope this helps

8 0

3 years ago

Write an expression that represents sarah's total pay last week. represent her hourly wage with

Nostrana [21]

Whats her hourly wage and where is the rest of the question this is very confusing there are no details so i cannot help you sorry

5 0

3 years ago

Lisa has a rope that measures 9 1 4 feet in length. She will cut the rope into pieces that are each 3 4 foot long. How many full

Harman [31]

Answer:

Lisa can cut the rope into 12 pieces with 1/4 foot remaining.

I found the answer on USATestprep.

3 0

3 years ago

Read 2 more answers