This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Huu hapa ni ufumbuzi wa swali la 5: Tunahitaji kutatua usawa 2x - 4 3x + 2 < 10 - x. Usawa huu unaweza kugawanywa katika sehemu mbili: 1. 2x - 4 3x + 2 2. 3x + 2 < 10 - x Hatua ya 1: Tatua usawa wa kwanza. 2x - 4 3x + 2 Toa 2x kutoka pande zote mbili: -4 x + 2 Toa 2 kutoka pande zote mbili: -4 - 2 x -6 x Hii inamaanisha x -6. Hatua ya 2: Tatua usawa wa pili. 3x + 2 < 10 - x Jumlisha x kwa pande zote mbili: 3x + x + 2 < 10 4x + 2 < 10 Toa 2 kutoka pande zote mbili: 4x < 10 - 2 4x < 8 Gawanya kwa 4: x < (8)/(4) x < 2 Hatua ya 3: Unganisha suluhisho. Tunayo x -6 na x < 2. Kuunganisha hizi kunatupa masafa ya x: -6 x < 2 Hatua ya 4: Wakilisha suluhisho kwenye mstari wa namba. Kwenye mstari wa namba: • Weka duara lililojazwa (au nukta iliyotiwa kivuli) kwenye -6, kuashiria kuwa -6 imejumuishwa. • Weka duara wazi (au nukta isiyo na kivuli) kwenye 2, kuashiria kuwa 2 haijajumuishwa. • Chora mstari unaounganisha duara hizi mbili. ` <---------------------------------------------------------------------> ... -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 ... •--------------------o ` 3 done, 2 left today. You're making progress.