Answered

Discover a world of knowledge and get your questions answered at IDNLearn.com. Discover reliable and timely information on any topic from our network of knowledgeable professionals.

For each inequality, decide whether the solutions is represented by x < 2.5 or x >2.5
1. -4x + 5 > -5. 2. -25 > -5(x + 2.5)

Sagot :

#1

  • -4x+5>-5
  • -4x>-5-5
  • -4x>-10
  • 4x<10
  • x<2.5

#2

  • -25>-5(x+2.5)
  • 25<5(x+2.5)
  • x+2.5>5
  • x>2.5
Semsee45idn

Answer:

1. x < 2.5

2. x > 2.5

Step-by-step explanation:

Question 1

Given inequality:

-4x + 5 > -5

Subtract 5 from both sides:

⇒ -4x + 5 - 5 > -5 - 5

⇒ -4x > -10

Divide both sides by -4 (remembering to flip the sign as we are dividing by a negative):

⇒ -4x ÷ -4 > -10 ÷ -4

⇒ x < 2.5

Question 2

Given inequality:

-25 > -5(x + 2.5)

Expand the brackets:

⇒ -25 > -5x - 12.5

Add 12.5 to both sides:

⇒ -25 + 12.5 > -5x - 12.5 + 12.5

⇒ -12.5 > -5x

Divide both sides by -5 (remembering to flip the sign as we are dividing by a negative):

⇒ -12.5 ÷ -5 > -5x ÷ -5

⇒ 2.5 < x

⇒ x > 2.5

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.