Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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
semsee45

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

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.