Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To solve the inequality [tex]\(7x - 35 < 2(x - 5)\)[/tex], we need to follow a step-by-step process:
Step 1: Distribute the term on the right side.
[tex]\[ 7x - 35 < 2(x - 5) \][/tex]
Distribute the 2 to both terms inside the parentheses:
[tex]\[ 7x - 35 < 2x - 10 \][/tex]
Step 2: Move all terms involving [tex]\(x\)[/tex] to one side of the inequality.
Subtract [tex]\(2x\)[/tex] from both sides to isolate [tex]\(x\)[/tex] on one side:
[tex]\[ 7x - 2x - 35 < -10 \][/tex]
Step 3: Simplify the terms.
Combine like terms:
[tex]\[ 5x - 35 < -10 \][/tex]
Step 4: Isolate the [tex]\(x\)[/tex]-term.
Add 35 to both sides of the inequality to isolate the term involving [tex]\(x\)[/tex]:
[tex]\[ 5x - 35 + 35 < -10 + 35 \][/tex]
[tex]\[ 5x < 25 \][/tex]
Step 5: Solve for [tex]\(x\)[/tex].
Divide both sides by 5 to isolate [tex]\(x\)[/tex]:
[tex]\[ x < 5 \][/tex]
Therefore, the solution to the inequality [tex]\(7x - 35 < 2(x - 5)\)[/tex] is:
[tex]\[ x < 5 \][/tex]
Step 1: Distribute the term on the right side.
[tex]\[ 7x - 35 < 2(x - 5) \][/tex]
Distribute the 2 to both terms inside the parentheses:
[tex]\[ 7x - 35 < 2x - 10 \][/tex]
Step 2: Move all terms involving [tex]\(x\)[/tex] to one side of the inequality.
Subtract [tex]\(2x\)[/tex] from both sides to isolate [tex]\(x\)[/tex] on one side:
[tex]\[ 7x - 2x - 35 < -10 \][/tex]
Step 3: Simplify the terms.
Combine like terms:
[tex]\[ 5x - 35 < -10 \][/tex]
Step 4: Isolate the [tex]\(x\)[/tex]-term.
Add 35 to both sides of the inequality to isolate the term involving [tex]\(x\)[/tex]:
[tex]\[ 5x - 35 + 35 < -10 + 35 \][/tex]
[tex]\[ 5x < 25 \][/tex]
Step 5: Solve for [tex]\(x\)[/tex].
Divide both sides by 5 to isolate [tex]\(x\)[/tex]:
[tex]\[ x < 5 \][/tex]
Therefore, the solution to the inequality [tex]\(7x - 35 < 2(x - 5)\)[/tex] is:
[tex]\[ x < 5 \][/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
What is the creepiest sounding scale? What scale would u use for writing creepy music in other words
What is the creepiest sounding scale? What scale would u use for writing creepy music in other words