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Popular >

2(x-3)>= 4(x+4)-10

Solution

2 (x - 3) \geq 4 (x + 4) - 10

Solution

x \leq - 6

+1

Interval Notation

(- \infty, - 6]

Solution steps

2 (x - 3) \geq 4 (x + 4) - 10

Expand

2 (x - 3) : 2 x - 6

Expand

4 (x + 4) - 10 : 4 x + 6

2 x - 6 \geq 4 x + 6

Move

6

to the right side

2 x \geq 4 x + 12

Move

4 x

to the left side

- 2 x \geq 12

Multiply both sides by

- 1

2 x \leq - 12

Divide both sides by

2

x \leq - 6

Popular Examples

- 2 \leq x \leq 1

(3x+6)/4 =(4x-3)/5

\frac{3 x + 6}{4} = \frac{4 x - 3}{5}

110=450+0.5(110-100)-50r+600-100r+100

110 = 450 + 0.5 (110 - 100) - 50 r + 600 - 100 r + 100

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

(3 x + 1) (2 x - 1) \leq 3 + x

2(5-x)+4<3x-6-2(x+7)

2 (5 - x) + 4 < 3 x - 6 - 2 (x + 7)

Frequently Asked Questions (FAQ)

What is 2(x-3)>= 4(x+4)-10 ?
The solution to 2(x-3)>= 4(x+4)-10 is x<=-6