Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Solve the following inequality algebraically.

∣x+7∣≤8

Sagot :

renknee

Answer:

x ≤ 1 and x ≥ −15

Step-by-step explanation:

Solving Absolute Value

  • We know that x + 7 ≤ 8 or x + 7 ≥ -8

Condition 1:

Step 1: Subtract 7 from both sides.

  • [tex]x + 7 - 7\leq 8 - 7[/tex]
  • [tex]x\leq 1[/tex]

Condition 2:

Step 1: Subtract 7 from both sides.

  • [tex]x + 7 - 7\geq -8 - 7[/tex]
  • [tex]x\geq -15[/tex]

Therefore, the answer is x ≤ 1 and x ≥ -15.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.