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Answered

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Given: 3x - 2 ≤ 2x + 1.

Choose the solution set.
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}
{x | x R, x ≤ -3}
{x | x R, x ≤ -1}

Sagot :

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second\ is \ correct . }}} [/tex]

Step-by-step explanation:

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

[tex]\bf\implies 3x -2 \leq 2x + 1 \\\\\bf\implies 3x -2x \leq 2 + 1 \\\\\bf\implies x \leq 2 + 1 \\\\\bf\implies\boxed{\red{\bf x \leq 3 }}[/tex]

This means that the value of x can be less than or equal to 3 . That is it means x ≤ 3. So , the required solution set will be ,

[tex]\boxed{\purple{\bf \{x | x \in \mathbb{R} , x \leq 3 \}}}[/tex]

Hence the second option is correct.

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