Given that 3b2 - 6

Question

Given that 3b2 - 6 <= 42, solve for b and hence write the solution set for which b is a whole number.

ScanSolve AI Tutor · Accepted Answer

Step 1: Tatua usawa. Tunapewa usawa: 3b² − 6 ≤ 42 Ongeza 6 pande zote mbili: 3b² ≤ 42 + 6 3b² ≤ 48 Gawanya kwa 3 pande zote mbili: b² ≤ 48/3 b² ≤ 16 Chukua mzizi wa mraba pande zote mbili. Kumbuka kuwa b inaweza kuwa chanya au hasi: √(b²) ≤ √(16) |b| ≤ 4 Hii inamaanisha kuwa b iko kati ya −4 na 4, ikijumuisha −4 na 4. −4 ≤ b ≤ 4 Step 2: Tambua nambari nzima (whole numbers) zinazokidhi usawa. Nambari nzima ni nambari zisizo hasi 0, 1, 2, 3, .... Kutoka kwenye usawa −4 ≤ b ≤ 4, nambari kamili (integers) ni −4, −3, −2, −1, 0, 1, 2, 3, 4. Nambari nzima katika seti hii ni zile zisizo hasi. Step 3: Andika seti ya suluhisho. Seti ya suluhisho kwa b ikiwa nambari nzima ni: 0, 1, 2, 3, 4

Given that 3b2 - 6 <= 42, solve for b and hence write the solution set for which b is a whole number.

Answer

Step-by-step solution

Tatua usawa.

Tambua nambari nzima (whole numbers) zinazokidhi usawa.

Andika seti ya suluhisho.

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