If a is a negative number, then a(1/a) is equal to -1. if a is a negative number and b is a negative number, then product ab is equal to a negative number

Both claims are false. In fact, and are one the multiplicative inverse of the other. This means, by definition of multiplicative inverse, that

So, it doesn't matter if is positive or negative: the multiplication of one number and its inverse will always be 1: for example,

Similarly, when you multiply two number, the sign of the product depends on the sign of the factors as follows:

So, the multiplication of two negative numbers is a positive number.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

22 dimes and 9 nickels

step-by-step explanation: