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Mathematics Senior High

(2)の問題についてです。 最大の整数が6と言っているのに解答の赤い式では7以上と書かれているのはなぜですか?なぜ7が含まれているのかわかりません

例題 33 1次不等式の整数解 (1) 不等式 6x+8(6-x) > 7 を満たす2桁の自然数xの個数を求めよ。 (2) 不等式5(x-1)<2(2x+α) を満たすxのうちで, 最大の整数が6であ るとき,定数aの値の範囲を求めよ。 CHART & THINKING 1次不等式の整数解 数直線を利用 まずは、与えられた不等式を解く。 (1) 2桁の自然数 →x≧10 これと不等式の解を合わせて, 条件を満たす整数xの値の 範囲を 10≦x≦n の形に表す。 この不等式を満たす整数の個数は? (2) 不等式の解は x<A の形となる。 数直線上でAの値を変化させ, x<A を満たす最大 の整数が6となるのはAがどのような値の範囲にあるかを 考えよう。 → x=6 は x<A を満たすが, x=7 は x<A を満たさないことが条件となる。 解答 (1) 6x+8(6-x) > 7 から 41 ゆえに x<2 xは2桁の自然数であるから 10≤x≤20 求める自然数の個数は -= 20.5 のときである。 ゆえに よって 2x>-41 1 <2a≦2 1/2<a≦1 10 11 2桁 20-10+1=11 (個) (2) 5(x-1)<2(2x+α) から x<2a+5 ① ① を満たすxのうちで最大の整数が6となるのは 6<2a+5≤7 20 41 2 21 x 6 2a+5 7 x ①を満たす最大の整数 基本 29.32 A ←展開して整理。 解の吟味。 不等号の向きが変わる。 展開して整理。 x ←6<2a+5<7 とか 6≦2a+57 などとし ないように。 等号の有 無に注意する。 α=1のとき, 不等式は x<7で、条件を満たす。 a=1/1/12 のとき, 不等式は x<6で、条件を満たさ ない。

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English Senior High

間違ってるとこあったら教えてください

英語 6 次のグラフ及び英文を読み、1から3の質問の答えとして最も適当なものを,それぞれ①~④ 23 のうちから一つずつ選びなさい。 解答番号は Not very familiar 18% Somewhat familiar 25% Not familiar 7% 21 Survey on Esports - 7 - Very familiar 50% Kazuhiro's dream is to be a professional esports player in the future. Esports stands for electronic sports. It is a form of video game competition. Sometimes tournaments for money are held and many people watch them online. Kazuhiro's friends introduced him to esports a few years ago, and he quickly became one of the best players among his friends. He has also participated in many local esports tournaments with them, and their team always won first or second place. Because of this experience, he started thinking of becoming a professional esports player. In one of his classes, Kazuhiro had to make a newsletter for his assignment. He decided to do a survey on esports. He found that some of his classmates were not familiar with esports. So, he thought he would try promoting it in his high school. He held an esports event for his classmates at school. He was not sure whether anyone would come to this event, but to his surprise, many students attended and enjoyed his workshop. He showed them some of the most famous video games in esports. He also gave them some advice on how to win. Finally, he did a live esports demonstration and played against a friend in another country. After this, a lot of his classmates asked Kazuhiro about esports. He felt pleased and satisfied with what he did. Now, he not only wants to be a professional esports player, but also be a person who can promote it. Through esports, he has been able to make friends all over the world, and he wants to spread the joy to other people. 2023KN1A-14-008 1 According to the pie chart, which of the following is true? 0 Less than 50% of the students are familiar with esports. 2 More than 90% of the students are not familiar with esports. 3 Twenty-five percent of the students are not familiar at all with esports. 4 Seventy-five percent of the students are familiar with esports. 2 According to the passage, which of the following is true about Kazuhiro? He wants to be a professional esports player. He wants to create a new video game in esports. He has a negative image of esports. 4 He has already won a lot of money from playing esports. 2 3 3 According to the passage, which of the following is true about Kazuhiro? He got confused when his friends asked him questions about esports. 2 He held an event to teach his classmates about esports at his school. 3 He was disappointed because not many people came to his workshop. 4 He learned about a professional esports player from his classmates. - 8 21 英語 22 23 2023KN1A-14-00

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