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]
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