5. 3.75x + 3.7 = 1.7 + 1.75x
a) 10
b) –1
c) 1
d) .1 <-----------------------------
8. p + 4 < –24
a) p < –20 <-----------------------
b) p < 28
c) p < –28
d) p < 20
It is -1 not 1
Right.
To find the answer to each of these questions, we need to solve the given equations.
For the first equation, 3.75x + 3.7 = 1.7 + 1.75x, we need to isolate the variable x on one side of the equation.
First, let's gather the x terms on one side and the constant terms on the other side.
Subtracting 1.75x from both sides, we get:
3.75x - 1.75x + 3.7 = 1.7
Simplifying the x terms, we have:
2x + 3.7 = 1.7
Next, let's isolate the x term by subtracting 3.7 from both sides:
2x + 3.7 - 3.7 = 1.7 - 3.7
Simplifying the constant terms, we have:
2x = -2
Now, we divide both sides of the equation by 2 to solve for x:
2x/2 = -2/2
Simplifying further, we get:
x = -1
So, the correct answer for the first question is (b) -1.
For the second equation, p + 4 < -24, we need to isolate the variable p.
First, let's subtract 4 from both sides of the inequality:
p + 4 - 4 < -24 - 4
Simplifying the terms, we have:
p < -28
So, the correct answer for the second question is (c) p < -28.