Alicia cashed her paycheck and used half her earnings to take three friends to dinner. she spent $42.15 on dinner and she brought home more than $20.00. write an inequality to represent the situation, using x to represent the amount of alicia's paycheck

If you would like to write an inequality to represent the situation, you can do this using the following steps:

x ... the amount of Alicia's paycheck

x/2 - $42.15 >= $20
x/2 >= $20 + $42.15
x/2 >= $62.15     /*2
x >= $62.15 * 2
x >= $124.3

The correct result would be x >= $124.3.

the answer to this question is yes

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