✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:
- -3 ÷ -3 = Cancels Out
- Turns into: [tex]\frac{-9}{-3} >5x-2[/tex]
✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:
- -9 ÷ -3 = 3
- Turns into: [tex]3 > 5x - 2[/tex]
✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:
- Turns into: [tex]5x-2<3[/tex]
✺ Add 2 to both sides:
- Turns into: [tex]5x<3+2[/tex]
✺ Add 3 and 2 to get 5:
- 3 + 2 = 5
- Turns into: [tex]5x<5[/tex]
✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:
- 5 ÷ 5 = Cancels Out
- Turns into: [tex]x<\frac{5}{5}[/tex]
✺ Divide 5 by 5 to get 1:
✺ So your answer is B, [tex]\boxed{x<1}[/tex].
(Number line is below.)
[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
