1 Answer

John Knoeller · Answer 1 · 2023-05-31T15:06:12+0000

We are given the following inequality

$5(4x+1)<5_{}$

Let us solve the above inequality for x.

Divide both sides of the inequality by 5

$\begin{gathered} (5(4x+1))/(5)<\frac{5_{}}{5} \\ 4x+1<1 \end{gathered}$

Subtract 1 from both sides of the inequality

$\begin{gathered} 4x+1-1<1-1 \\ 4x<0 \end{gathered}$

Finally, divide both sides of the inequality by 4

$\begin{gathered} (4x)/(4)<(0)/(4) \\ x<0 \end{gathered}$

So, the solution is all the values less than 0 (0 is not included in the solution)

The solution in the interval notation is given by

$(-\infty,0)$

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