At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
Sagot :
Let's solve the inequality step-by-step to determine the value of [tex]\( x \)[/tex].
We start with the given inequality:
[tex]\[ -6 \geq 5(x - 2) - 0.7 \][/tex]
### Step 1: Distribute the 5 on the right-hand side
Distribute the 5 inside the parentheses:
[tex]\[ -6 \geq 5x - 10 \][/tex]
Now, we must also subtract the 0.7:
[tex]\[ -6 \geq 5x - 10 - 0.7 \][/tex]
### Step 2: Combine constants on the right-hand side
Combine the constants [tex]\(-10\)[/tex] and [tex]\(-0.7\)[/tex]:
[tex]\[ -6 \geq 5x - 10.7 \][/tex]
### Step 3: Isolate the variable [tex]\( x \)[/tex]
To isolate [tex]\( x \)[/tex], we will first add 10.7 to both sides of the inequality:
[tex]\[ -6 + 10.7 \geq 5x \][/tex]
[tex]\[ 4.7 \geq 5x \][/tex]
### Step 4: Solve for [tex]\( x \)[/tex]
To solve for [tex]\( x \)[/tex], divide both sides by 5:
[tex]\[ \frac{4.7}{5} \geq x \][/tex]
This simplifies to:
[tex]\[ 0.94 \geq x \][/tex]
or equivalently,
[tex]\[ x \leq 0.94 \][/tex]
### Conclusion
The solution to the inequality [tex]\(-6 \geq 5(x - 2) - 0.7\)[/tex] is:
[tex]\[ x \leq 0.94 \][/tex]
We start with the given inequality:
[tex]\[ -6 \geq 5(x - 2) - 0.7 \][/tex]
### Step 1: Distribute the 5 on the right-hand side
Distribute the 5 inside the parentheses:
[tex]\[ -6 \geq 5x - 10 \][/tex]
Now, we must also subtract the 0.7:
[tex]\[ -6 \geq 5x - 10 - 0.7 \][/tex]
### Step 2: Combine constants on the right-hand side
Combine the constants [tex]\(-10\)[/tex] and [tex]\(-0.7\)[/tex]:
[tex]\[ -6 \geq 5x - 10.7 \][/tex]
### Step 3: Isolate the variable [tex]\( x \)[/tex]
To isolate [tex]\( x \)[/tex], we will first add 10.7 to both sides of the inequality:
[tex]\[ -6 + 10.7 \geq 5x \][/tex]
[tex]\[ 4.7 \geq 5x \][/tex]
### Step 4: Solve for [tex]\( x \)[/tex]
To solve for [tex]\( x \)[/tex], divide both sides by 5:
[tex]\[ \frac{4.7}{5} \geq x \][/tex]
This simplifies to:
[tex]\[ 0.94 \geq x \][/tex]
or equivalently,
[tex]\[ x \leq 0.94 \][/tex]
### Conclusion
The solution to the inequality [tex]\(-6 \geq 5(x - 2) - 0.7\)[/tex] is:
[tex]\[ x \leq 0.94 \][/tex]
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.