Question
Let $f(x)=2 x+3$ and $g(x)=3 x-1 .$ Find all values of $x$ for which $f(x) \geq 5$ and $g(x)>11.$
Step 1
This means we need to find all $x$ such that $2x + 3 \geq 5$. Subtract 3 from both sides to isolate the term with $x$: \[2x \geq 5 - 3\] \[2x \geq 2\] Then divide both sides by 2 to solve for $x$: \[x \geq 2/2\] \[x \geq 1\] Show more…
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