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3 votes
Solve: -1/3 (5x +3) < 14

User Nokuap
by
5.8k points

2 Answers

3 votes

Answer:

x > -9

Explanation:

you want to multiply both sides of the inequality by 3/1 to make

-1/1 (5x+3) < 42/1

any expression divided by 1 remains the same

-1 (5x+3) < 42/1 ⇒ - (5x+3) < 42/1 ⇒ - (5x+3) < 42

Where there is a - in front of an expression in parentheses, change the sign of each term in the expression

-5x -3 <42

Then move the constant to the right-hand side and change its sign

-5 < 42 + 3

Add the numbers and you'll get

-5x < 45

Divide both sides of the inequality by -5 and flip the inequality sign and your answer would be

x > -9

User Harika
by
5.0k points
3 votes
  • Answer:

x > - 9

x ∈ ( - 9 : + oo)

  • Explanation:


-(1)/(3)(5x+3)<14\\ \\-(5x+3)<42\\\\-5x-3<42\\\\-3-42<5x\\\\-45<5x\\\\5x>-45\\\\x>-9\\\\

x∈ ( - 9 ; + oo)

User Gramowski
by
5.8k points