Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Solve the following inequality for [tex]d[/tex]. Write your answer in simplest form.

[tex]2d - 10 \leq 3d - 7[/tex]

Answer: [tex]d \geq -3[/tex]

Sagot :

GinnyAnswer
To solve the inequality [tex]\( 2d - 10 \leq 3d - 7 \)[/tex] for [tex]\( d \)[/tex], we will go through the following steps:

1. Start with the given inequality:
[tex]\[ 2d - 10 \leq 3d - 7 \][/tex]

2. Subtract [tex]\( 2d \)[/tex] from both sides to isolate [tex]\( d \)[/tex] on one side of the inequality:
[tex]\[ -10 \leq d - 7 \][/tex]

3. Add 7 to both sides to further isolate [tex]\( d \)[/tex]:
[tex]\[ -10 + 7 \leq d \][/tex]
[tex]\[ -3 \leq d \][/tex]

This simplifies to:
[tex]\[ d \geq -3 \][/tex]

So, the solution to the inequality [tex]\( 2d - 10 \leq 3d - 7 \)[/tex] is [tex]\( d \geq -3 \)[/tex].

Thus, the answer in simplest form is:
[tex]\[ d \geq -3 \][/tex]
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.