solve -1/4 (12x+8)<=-2x+11

⚠ -1/4 (12x+8)<=-2x+11 is read as -(1/4)*(12x+8)<=-2x+11: use (1/4)*(12x+8) to multiply by the following factor, use 1/(4*(12x+8)) to include it in the denominator

Let's solve in

ℝ

- \frac{1}{4} \cdot (12 x + 8) \leq - 2 x + 11

ⓘ Expand using the distributive law, multiplying each term of the sum by the other factor:

- \frac{1}{4} \cdot (12 x + 8)

- (3 x + 2)

- (3 x + 2) \leq - 2 x + 11

ⓘ With a minus sign before parentheses, change the sign of every term inside:

- (3 x + 2)

- 3 x - 2

- 3 x - 2 \leq - 2 x + 11

ⓘ We gather the terms in

x

on the right and the other terms on the left

- 2 - 11 \leq - 2 x + 3 x

ⓘ Start from

-2

and move back

11

more on the number line, away from zero:

- 2 - 11

-13

■Group like terms by adding their coefficients:

- 2 x + 3 x

x

-13 \leq x

▶Solution found:

x \geq -13

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