Question

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.

–10.5 < 3a
b/6 ≤ 7
–4.5c > 9
–21/5 ≤ –5/2d
Please I need this answer right away!!!

Answer 1

• No, no, yes, yes

Explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

• no as variable has positive coefficient

b/6 ≤ 7 ⇒ b ≤ 42

• no as variable has positive coefficient

–4.5c > 9 ⇒ c < - 2

• yes as variable has negative coefficient

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25

• yes as variable has negative coefficient