Questions: Which number line illustrates the problem below? x = -1 - (-2) - 3

Which number line illustrates the problem below? x = -1 - (-2) - 3
Transcript text: Which number line illustrates the problem below? \[ x=-1-(-2)-3 \]
failed

Solution

failed
failed

Solution Steps

Step 1: Simplify the Expression Inside the Parentheses

The given expression is \( x = -1 - (-2) - 3 \). First, simplify the expression inside the parentheses: \[ -(-2) = 2 \]

Step 2: Substitute and Simplify Further

Substitute \( 2 \) back into the expression: \[ x = -1 + 2 - 3 \]

Step 3: Perform the Addition and Subtraction

Now, perform the addition and subtraction step by step: \[ -1 + 2 = 1 \] \[ 1 - 3 = -2 \]

Final Answer

The value of \( x \) is \(-2\). The number line that illustrates this problem is the one that starts at \(-1\), moves 2 units to the right to reach \(1\), and then moves 3 units to the left to reach \(-2\). This corresponds to option B.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Question 11, 4.1.21 Part 2 of 4 Use the probability distribution to complete parts (a) through (d) below. The probability distribution of number of televisions per household in a small town x 0 1 2 3 P(x) 0.03 0.14 0.31 0.52 (a) Find the probability of randomly selecting a household that has one or two televisions The probability is 0.45 (Type an integer or a decimal. Do not round.) (b) Find the probability of randomly selecting a household that has two or more televisions. The probability is (Type an integer or a decimal. Do not round.)
failedAnswered
Fifty-seven percent of families say that their children have an influence on their vacation plans. Consider a sample of eight families who are asked if their children influence their vacation plans. What is the probability that exactly three families say that their children have an influence on their vacation plans.
failedAnswered
Yarita and her children went into a restaurant that sells hamburgers for 5 each and tacos for 2.50 each. Yarita has 60 to spend and must buy at least 14 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
failedAnswered
Determine if the following equation is a conditional equation, an identity, or a contradiction. 5(x-4)-3 x=-4(x+5)+6 x
failedAnswered
Multiple Choice Question What is a purchase return? A purchase return is the cash discount given for early payment of an invoice. A purchase return refers to merchandise a buyer acquires, but then returns to the seller. A purchase return refers to merchandise a seller acquires, but then returns to the buyer. A purchase return is designed to shorten the payment period between the buyer and the seller.