Problem 137
Question
Will help you prepare for the material covered in the next section. Is \(-1\) a solution of \(3-2 x \leq 11 ?\)
Step-by-Step Solution
Verified Answer
Yes, -1 is a solution of \(3-2x \leq 11\).
1Step 1: Substituting -1 for x in the inequality
Replace x with -1 in the inequality \(3 - 2x \leq 11\). This will result in \(3 - 2(-1) \leq 11\).
2Step 2: Solving the Simplified Inequality
Next, carry out the mathematical calculation. The inequality now reads as \(3 + 2 \leq 11\), which simplifies further to \(5 \leq 11\).
3Step 3: Validating the Inequality
Determine if 5 is less than or equal to 11. As 5 is indeed less than 11, it can be concluded that -1 is a solution to the inequality \(3-2x \leq 11\).
Other exercises in this chapter
Problem 136
Solve for \(x: x^{\frac{5}{6}}+x^{\frac{2}{3}}-2 x^{\frac{1}{2}}=0\)
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Will help you prepare for the material covered in the next section. Solve: \(-2 x-4=x+5\)
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