What is x/2-x+((3x+1))/2 <= 2 ?

The solution to x/2-x+((3x+1))/2 <= 2 is x<= 3/2

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x/2-x+((3x+1))/2 <= 2

\frac{x}{2} - x + \frac{( 3 x + 1 )}{2} \leq 2

x \leq \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}]

Decimal Notation

x \leq 1.5

Solution steps

\frac{x}{2} - x + \frac{( 3 x + 1 )}{2} \leq 2

\frac{x}{2} - x + \frac{3 x + 1}{2} \leq 2

Multiply both sides by

2

2 x + 1 \leq 4

Move

1

to the right side

2 x \leq 3

Divide both sides by

2

x \leq \frac{3}{2}

- 6 x + 2 < 0

120 - < x +, 5 \geq 25

\frac{2 x + 3}{2} \leq 6 x + 2

\frac{( x + 7 )}{5} + \frac{( x - 3 )}{3} > 2

g, lo g_{10} (x^{2}) (2 + x) < 1

What is x/2-x+((3x+1))/2 <= 2 ?
The solution to x/2-x+((3x+1))/2 <= 2 is x<= 3/2