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(1)

5

日付(        月         日        曜日  )   名前 (       )

確認テスト

 I

Tー1 確認テスト

 を解きなさい。

| x − 3 | = 4x | x − 3 | < 4x  を解きなさい。

> 第1章 数 式 > 第3節 1次不等式 > 第4講:絶対値 場合分

(i)

(ii)

のとき, 

x − 3 ≧ 0 x ≧ 3 x − 3 = 4x

x = − 1

よって, 範囲内にないので, 解なし 3 x

−1

2 x のとき, 

x − 3 < 0 x < 3 x − 3 = − 4x

x = 3 5

よって,  

x = 3 5

3 5

したがって, (i), (ii)より, 

x = 3 5

x = 35

(i)

(ii)

のとき, 

x − 3 ≧ 0 x ≧ 3 x − 3 < 4x

x > − 1

よって, 

x ≧ 3

3 x

−1

3 x のとき, 

x − 3 < 0 x < 3 x − 3 > − 4x

x > 3 5

よって,  

3

5 < x < 3

35

したがって, (i), (ii)より,

x > 35 3 x

3

5 x > 35

参照

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