ConstantinC690966 ConstantinC690966
  • 28-10-2022
  • Mathematics
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I am doing a practice sheet for a upcoming test need to get explanation and help

I am doing a practice sheet for a upcoming test need to get explanation and help class=

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ZyierN140320 ZyierN140320
  • 28-10-2022

the inequality is:

[tex]4x+5\le13[/tex]

Now we can rest 5 in bout sides so:

[tex]\begin{gathered} 4x\le13-5 \\ 4x\le8 \end{gathered}[/tex]

Now we divide by 4 so:

[tex]\begin{gathered} x\le\frac{8}{4} \\ x\le2 \end{gathered}[/tex]

English solution: all real numbers that are less or equal to 2

Algebraic solution:

[tex]x\le2[/tex]

Number line solution:

Interval notation:

[tex](-\infty,2\rbrack[/tex]

Builder notation:

[tex]\mleft\lbrace x\parallel x\le2\mright\rbrace[/tex]

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