Questions: 5x-10>11x+8

5x-10>11x+8
Transcript text: $5x-10>11x+8$
failed

Solution

failed
failed

Solution Steps

To solve the inequality \(5x - 10 > 11x + 8\), we need to isolate the variable \(x\) on one side. This involves moving all terms involving \(x\) to one side and constant terms to the other side. After simplifying, we solve for \(x\).

Step 1: Rearranging the Inequality

We start with the inequality: \[ 5x - 10 > 11x + 8 \] To isolate \(x\), we first move all terms involving \(x\) to one side and constant terms to the other side. This gives us: \[ 5x - 11x > 8 + 10 \]

Step 2: Simplifying the Inequality

Next, we simplify both sides: \[ -6x > 18 \] Dividing both sides by \(-6\) (and remembering to reverse the inequality sign) results in: \[ x < -3 \]

Step 3: Expressing the Solution

The solution to the inequality can be expressed in interval notation. Since \(x\) can take any value less than \(-3\), we write: \[ (-\infty, -3) \]

Final Answer

The solution to the inequality is: \[ \boxed{(-\infty, -3)} \]

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
In microeconomics, what occurs when equilibrium is reached? Prices decline. Prices increase. Prices are set. Prices fluctuate.
failedAnswered
The cross of an individual with a dominant phenotype and an unknown genotype with a homozygous recessive individual is known as a mapcross testcross Mendelian cross recombinant cross parental cross
failedAnswered
Suppose we know that a confidence interval is (42, 47.6). Find the error bound and the sample mean. Round to 2 places where possible. a. Mean = b. Error Bound =
failedAnswered
Which term involves shifts in the greater ability to capture attention, obtain cognitive flexibility, and reduce interfering thoughts? Metacognition Cognitive control Cognition Cognitive mastery
failedAnswered
Solve for (x) : [ frac72 x+frac74=2+frac16 x x= ]