Pregunta
Solve for \( x \) and graph the solution on the number line below. \[ 9<7+x \]
Ask by Weston Cervantes. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
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The solution is \( x > 2 \).
Solución
Step 1: Start with the inequality
9 < 7 + x
Step 2: Subtract 7 from both sides to solve for x
9 − 7 < x
2 < x
Step 3: Rewrite the inequality
x > 2
Graphing the solution on a number line:
• Draw a number line with relevant numbers.
• Place an open circle at 2 (since x is strictly greater than 2, not equal to 2).
• Shade or draw an arrow extending to the right from the open circle to show all numbers greater than 2.
The solution is x > 2.
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Simplifique esta solución Beyond the Answer
First, let's solve the inequality \( 9 < 7 + x \). To isolate \( x \), subtract 7 from both sides: \[ 9 - 7 < x \] This simplifies to: \[ 2 < x \] or, equivalently, \[ x > 2 \] Now, to graph this solution on a number line, you would place an open circle on the number 2 (since 2 is not included in the solution) and shade to the right to indicate all numbers greater than 2. This visually represents all the possible values for \( x \) that satisfy the inequality. Happy graphing!
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