Question

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
a.1.5 > x > 4
b.1.5 < x < 4
c.1.5 ≤ x ≤ 4
d.1.5 ≥ x ≥ 4

Answer 1

Step-by-step explanation:

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:

1.5 < pH(J) \wedge pH(J) < 41.5<pH(J)∧pH(J)<4

Or simply:

1.5 < pH(J) < 41.5<pH(J)<4

We can also write this with an interval:

pH(J)\in(1.5, 4)pH(J)∈(1.5,4)