Ross Romero
06/17/2024 · Senior High School
Drag each number to show whether or not it is a solution to the inequality shown. Inequality: \( 20 \geq 5+3 x \)
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To determine whether each number is a solution to the inequality \(20 \geq 5 + 3x\), we need to substitute each number into the inequality and check if the inequality holds true.
Given inequality: \(20 \geq 5 + 3x\)
Let's substitute each number into the inequality and check:
1. For \(x = 1\):
Substitute \(x = 1\) into the inequality:
\(20 \geq 5 + 3(1)\)
\(20 \geq 5 + 3\)
\(20 \geq 8\)
This is true, so \(x = 1\) is a solution to the inequality.
2. For \(x = 2\):
Substitute \(x = 2\) into the inequality:
\(20 \geq 5 + 3(2)\)
\(20 \geq 5 + 6\)
\(20 \geq 11\)
This is true, so \(x = 2\) is a solution to the inequality.
3. For \(x = 3\):
Substitute \(x = 3\) into the inequality:
\(20 \geq 5 + 3(3)\)
\(20 \geq 5 + 9\)
\(20 \geq 14\)
This is true, so \(x = 3\) is a solution to the inequality.
4. For \(x = 4\):
Substitute \(x = 4\) into the inequality:
\(20 \geq 5 + 3(4)\)
\(20 \geq 5 + 12\)
\(20 \geq 17\)
This is true, so \(x = 4\) is a solution to the inequality.
Therefore, all the numbers \(x = 1, 2, 3, 4\) are solutions to the inequality \(20 \geq 5 + 3x\).
Quick Answer
All numbers \(x = 1, 2, 3, 4\) are solutions to the inequality \(20 \geq 5 + 3x\).
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