Suppose that the domain for x consists of all english text.

p(x): "x is a clear explanation,"

q(x): "x is satisfactory," and

r(x): "x is an excuse,"

express each of these statements using quantifiers, logical connectives, and p (x), q(x),and r(x).

a) some clear explanations are satisfactory

b) all excuses are unsatisfactory

c) some excuses are not clear explanations.

d) does (c) follow from (a) and (b)?

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.

Which of the following contains a variable?

Sh what is the value of x? ox= 2.25 x = 11.25 ox= x = 22 1 (2x + 10) seo - (6x + 1) -- nie