Answered

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1. Solve -4x < -3(6x - 2) and sketch the solution set on a number line.

Sagot :

We need to solve the inequality:

[tex]-4x<-3\mleft(6x-2\mright)[/tex]

Let's multiply right side out and take variables to one side and numbers to another. The process is shown below:

[tex]\begin{gathered} -4x<-3\mleft(6x-2\mright) \\ -4x<-18x+6 \\ -4x+18x<6 \\ 14x<6 \\ x<\frac{6}{14} \\ x<\frac{3}{7} \end{gathered}[/tex]

The solution set is:

[tex]\begin{gathered} x<\frac{3}{7} \\ or \\ x<0.4286 \end{gathered}[/tex]

This means that x is less than 3/7, or

x is less than 0.4286

On the number line it looks:

View image BetsaidaA279814
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