Issolvi 2/5(3-x)+2<-2

$$\frac{ 2 }{ 5 } (3-x)+2 < -2$$

Solvi għal x

$$x>13$$

Passi tas-Soluzzjonijiet

Uża l-propjetà distributtiva biex timmultiplika \frac{2}{5} b'3-x.

$$\frac{2}{5}\times 3+\frac{2}{5}\left(-1\right)x+2<-2$$

Esprimi \frac{2}{5}\times 3 bħala frazzjoni waħda.

$$\frac{2\times 3}{5}+\frac{2}{5}\left(-1\right)x+2<-2$$

Immultiplika 2 u 3 biex tikseb 6.

$$\frac{6}{5}+\frac{2}{5}\left(-1\right)x+2<-2$$

Immultiplika \frac{2}{5} u -1 biex tikseb -\frac{2}{5}.

$$\frac{6}{5}-\frac{2}{5}x+2<-2$$

Ikkonverti 2 fi frazzjoni \frac{10}{5}.

$$\frac{6}{5}-\frac{2}{5}x+\frac{10}{5}<-2$$

Billi \frac{6}{5} u \frac{10}{5} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

$$\frac{6+10}{5}-\frac{2}{5}x<-2$$

Żid 6 u 10 biex tikseb 16.

$$\frac{16}{5}-\frac{2}{5}x<-2$$

Naqqas \frac{16}{5} miż-żewġ naħat.

$$-\frac{2}{5}x<-2-\frac{16}{5}$$

Ikkonverti -2 fi frazzjoni -\frac{10}{5}.

$$-\frac{2}{5}x<-\frac{10}{5}-\frac{16}{5}$$

Billi -\frac{10}{5} u \frac{16}{5} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$-\frac{2}{5}x<\frac{-10-16}{5}$$

Naqqas 16 minn -10 biex tikseb -26.

$$-\frac{2}{5}x<-\frac{26}{5}$$

Immultiplika ż-żewġ naħat b'-\frac{5}{2}, ir-reċiproku ta' -\frac{2}{5}. Peress li -\frac{2}{5} huwa negattiv, id-direzzjoni tal-inugwaljanza inbidlet.

$$x>-\frac{26}{5}\left(-\frac{5}{2}\right)$$

Immultiplika -\frac{26}{5} b'-\frac{5}{2} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$x>\frac{-26\left(-5\right)}{5\times 2}$$

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{-26\left(-5\right)}{5\times 2}.

$$x>\frac{130}{10}$$

Iddividi 130 b'10 biex tikseb13.

$$x>13$$