Here's a problem that occurs in automatic program analysis. for a set of variables x1; : : : ; xn, you are given some equality constraints, of the form xi = xj and some disequality constraints,
of the form xi 6= xj . is it possible to satisfy all of them?
for instance, the constraints
x1 = x2; x2 = x3; x3 = x4; x1 6= x4
cannot be satis ed. give an ef cient algorithm that takes as input mconstraints over n variables
and decides whether the constraints can be satisfied.

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

1/3

step-by-step explanation:

to find this, you can divide 12 by 4 which is 3 or you can multiply 4 until you reach 12 (4x3=12). both should give you 3, meaning theres three times less bananas than there are oranges.

step-by-step explanation: