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PCSSD Portal Grades | Schoology Grades | Schoology Sky Characteristics IXL | Solutions to ine UpStudy Thoth Al ixl.com/math/grade-8/solutions-to-inequalities PCSSD Home | Schoology Express 8767543 in... prepostseo.com/es... DM My IXL Learning Assessment Analytics Ava Eighth grade N. 1 Solutions to inequalities G2U Video Questions answered Which of the following is a solution to the inequality below? \[ 12 \leq d \] \( d=8 \) \( d=2 \) \( d=11 \) \( d=12 \) SmartScore out of 100 ? 23 Submit Work it out Not feeling ready yet? These can help: Which x satisfies an equation? Compare and order integers Lesson: Inequalities on a number line

Ask by Burgess Wang. in the United States
Jan 23,2025

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Answer

\( d = 12 \)

Solution

To determine which value of \( d \) satisfies the inequality: \[ 12 \leq d \] Let's evaluate each option: 1. **\( d = 8 \)** \[ 12 \leq 8 \quad \text{(False)} \] 2. **\( d = 2 \)** \[ 12 \leq 2 \quad \text{(False)} \] 3. **\( d = 11 \)** \[ 12 \leq 11 \quad \text{(False)} \] 4. **\( d = 12 \)** \[ 12 \leq 12 \quad \text{(True)} \] **Conclusion:** Only **\( d = 12 \)** satisfies the inequality \( 12 \leq d \). **Answer:** \( d = 12 \)

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Inequalities are much more than just symbols; they represent real-world situations! For instance, imagine you want to buy a new video game but only if it costs $60 or less. In this case, you might use the inequality \( p \leq 60 \), where \( p \) represents the price of the game. This is an everyday scenario of how inequalities help us make decisions based on conditions we set! When solving inequalities, a common mistake is forgetting to flip the inequality sign when multiplying or dividing by a negative number. For instance, if you have \( -2d < 6 \) and divide both sides by -2, the inequality should flip to \( d > -3 \). This can sometimes trip up even seasoned students, so remember: always pay attention to those signs to keep your solutions accurate!

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