Question

Solve the following inequality.xe^x ≥7Choose one:1. x ≤ 1.522. no solution3. x ≤ 1.954. x ≥ 1.955. x ≥ 1.52

Answer 1

1) Considering e =2.72

Then let's plug it in the inequality, and calculate the natural logarithm.

`\begin{gathered} xe^x\ge7 \\ x2.72^x\ge7 \\ 2.72^x\ge(7)/(x)^{} \\ \ln 2.72^x\ge\ln ((7)/(x)) \\ x\text{ }\ge1.52 \end{gathered}`

2) Then option 5 is the answer

X≥ 1.52