suburban477
Answered

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5(x-2)-3x<2 step by step

Sagot :

et762572

Answer: [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x<6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]

Step-by-step explanation:

[tex]5\left(x-2\right)-3x<2[/tex]

[tex]2x-10<2[/tex]

[tex]\mathrm{Add\:}10\mathrm{\:to\:both\:sides}[/tex]

[tex]2x-10+10<2+10[/tex]

Simplify

[tex]2x<12[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2x}{2}<\frac{12}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x<6[/tex]

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