Issolvi 2left(1*5x-2*1right)+1*7geq2left(2*4x-3*5right)

$$2 \left( 1 \cdot 5x-2 \cdot 1 \right) +1 \cdot 7 \geq 2 \left( 2 \cdot 4x-3 \cdot 5 \right)$$

Solvi għal x

$$x\leq \frac{11}{2}$$

Passi tas-Soluzzjonijiet

Immultiplika 1 u 5 biex tikseb 5.

$$2\left(5x-2\times 1\right)+1\times 7\geq 2\left(2\times 4x-3\times 5\right)$$

Immultiplika 2 u 1 biex tikseb 2.

$$2\left(5x-2\right)+1\times 7\geq 2\left(2\times 4x-3\times 5\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'5x-2.

$$10x-4+1\times 7\geq 2\left(2\times 4x-3\times 5\right)$$

Immultiplika 1 u 7 biex tikseb 7.

$$10x-4+7\geq 2\left(2\times 4x-3\times 5\right)$$

Żid -4 u 7 biex tikseb 3.

$$10x+3\geq 2\left(2\times 4x-3\times 5\right)$$

Immultiplika 2 u 4 biex tikseb 8.

$$10x+3\geq 2\left(8x-3\times 5\right)$$

Immultiplika 3 u 5 biex tikseb 15.

$$10x+3\geq 2\left(8x-15\right)$$

Uża l-propjetà distributtiva biex timmultiplika 2 b'8x-15.

$$10x+3\geq 16x-30$$

Naqqas 16x miż-żewġ naħat.

$$10x+3-16x\geq -30$$

Ikkombina 10x u -16x biex tikseb -6x.

$$-6x+3\geq -30$$

Naqqas 3 miż-żewġ naħat.

$$-6x\geq -30-3$$

Naqqas 3 minn -30 biex tikseb -33.

$$-6x\geq -33$$

Iddividi ż-żewġ naħat b'-6. Peress li -6 huwa negattiv, id-direzzjoni tal-inugwaljanza inbidlet.

$$x\leq \frac{-33}{-6}$$

Naqqas il-frazzjoni \frac{-33}{-6} għat-termini l-aktar baxxi billi testratta u tikkanċella barra -3.

$$x\leq \frac{11}{2}$$