Asubset t of the real numbers that is bounded below must have a greatest lower bound in the real numbers because it can be proved using just the order properties of the real numbers. it can be proved using just the algebraic (field) properties of the real numbers. it can be proved from the least upper bound property using the set 5 of negatives of numbers in t. that is one of the properties (axioms) of the real numbers that we accept without proof.

step-by-step explanation:

3+3+3+2*2*2+29*12 = 365

step-by-step explanation:

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74