Answer:
d > 5.5
d > 11/2
Step-by-step explanation:
To solve the inequality (find all possible values of "d" for the statement to be true), isolate "d". This means to separate it from all of the other numbers. Do this by performing reverse operations in reverse BEDMAS (brackets, exponents, division, multiplication, addition, subtraction) order.
12d + 34 > 100
12d + 34 - 34 > 100 - 34 Subtract 34 from both sides. It's the reverse operation for adding 34.
12d > 100 - 34 34 - 34 on the left side cancels out
12d > 66 Simplify 100-34
12d/12 > 66/12 Divide both sides by 12 to isolate "d"
d > 66/12 Reduce to lowest terms. 66 and 12 are both divisible by 6.
d > 11/2 Answer in lowest terms
d > 5.5 Answer as a decimal
Therefore, for 12d + 34 > 100 to be true, "d" must be greater than 5.5 or 11/2.
