Solve the compound inequality-1< 4m+7< 11

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Solve the compound inequality-1< 4m+7< 11

Let's say x is J because it's Lemon Juice.

It's said that the pH of J is less than 4 so: pH(J) < 4 and pH(J) is greater than 1.5 so: pH(J) > 1.5

Now we can construct:

[tex]1.5 < pH(J) \wedge pH(J) < 4[/tex]

Or simply:

[tex]1.5 < pH(J) < 4[/tex]

We can also write this with an interval:

[tex]pH(J)\in(1.5, 4)[/tex]

Hope this helps.

r3t40

-6<x<0

-5,-4,-3,-2,-1

[tex]Solve the compound inequality 1 < ×+7 < 7 ?[/tex]

Given an inequality, you can

- add the same amount to both sides

- divide both sides by any amount greater than zero

without effecting the validity or orientation of the inequality

1<3x−2≤10

can be split into two inequalities

1<3x−2

XXX→3<3x

XXX→1<x

and

3x−2≤10

XXX→3x≤12

XXX→x≤4

1.5 < x < 4

Step-by-step explanation:

Let x be the pH of lemon juice

As it is said that the pH is less than it will be denoted by

x<4

Similarly it is also given that lemon juice's pH is greater than 1.5

x>1.5

So,

both inequalities will be combined.

1.5 < x < 4

It is read as x is greater than 1.5 and less than 4 ..

So option 2 is correct ..

Hello :

1.5x-1> 6.5 or 7x+3< -25

1.5x > 7.5 or 7x < - 28

x > 7.5/1.5 or x < -28/7

x > 5 or x < - the graphe

we have

> inequality a

the solution of the inequality a is the > (5,∞)

> inequality b

the solution of the inequality b is the > (-∞,-4)

the solution of the compound system a or b is equal to

solution a ∪ solution b= (-∞,-4) ∪ (5,∞)

the graph in the attached figure

[tex]Which graph shows the solution set of the compound inequality 1.5x-1> 6.5 or 7x+3< -25[/tex]

Combing both the inequalities of m , we get -3/2 < m < 1

Step-by-step explanation:

Here, the given expression is 1 < 4 m + 7 < 11.

Considering the left part of the equation we get

1 < 4 m + 7

or, 1 -7 < 4 m + 7 - 7

or, -6 < 4 m

or, m > -6/4

⇒ m > -3/2

Similarly, considering the right part of the equation:

4 m + 7 < 11

or, 4 m + 7 - 7 < 11 - 7

or, 4 m < 4

or, m< 4/4 = 1

⇒ m < 1

Hence, combing both the inequalities of m ,

m > -3/2

m < 1

⇒ -3/2 < m < 1

For this case we have the following inequations:

1.5x-1> 6.5

7x + 3 <-25

Clearing x from each one we have:

For 1.5x-1> 6.5:

1.5x> 6.5 + 1

1.5x> 7.5

x> 7.5 / 1.5

x> 5

For 7x + 3 <-25:

7x <-25-3

7x <-28

x <-28/7

x <-4

The solution set is:

(inf, -4) U (5, inf)

See attached image

[tex]Which graph shows the solution set of the compound inequality 1.5x-1> 6.5 or 7x+3< -25[/tex]

B

Step-by-step explanation:

I took the test

-10 < n < 8 is the answer