Question

Which graph shows the solution to the following inequality?4d- 6 < 18 PLEASE HELP​

Answer 1

Answer:

answer a

Step-by-step explanation:

$4d-6$ < $18$

• Let's isolate $d$ on one side of the equation. Ignore the inequality for now. We'll deal with that later.

$4d-6=18\\4d-6+6=18+6\\4d=24\\\frac{4d}{4}=\frac{24}{4}\\ d=6$

• Now, I'm going to bring back the inequality or < symbol. I only removed it when simplifying and isolating $d$, but if this confuses you, just do your math and keep the inequality there.

$d$ < $6$

• On a number line, this would include every number less than $6$, due to the < (less than) symbol. This disqualifies answers b and d because they are showing every number greater than $6$. But, how do we decide between answers a and c?
• If a line has point at its beginning, $6$, then that means that every number less than or equal to [ ≤ ] 6 is being shown, but our equation just says less than [ < ] 6, so answer a is our correct answer.

Answer 2

Answer A is the answer