Inequalities
Akopọ
Inequalities describe relationships where one quantity is greater than, less than, or not equal to another. Unlike equations, which pin down a single value, an inequality defines a whole range of values that satisfy a condition. From budgeting constraints to engineering tolerances, inequalities model any situation where limits apply rather than exact targets.
This lesson covers the four inequality symbols, how to represent solution sets on a number line using open and closed circles, and how to solve linear inequalities. You will also learn to shade regions on a Cartesian graph defined by linear inequalities. Higher tier extends into quadratic inequalities and harder region problems.
Awọn Afojusun
- Understand and use the inequality symbols
- Understand and use the convention for open and closed intervals on a number line
- Solve simple linear inequalities in one variable and represent the solution set on a number line
- Represent simple linear inequalities on rectangular Cartesian graphs
- Identify regions on rectangular Cartesian graphs defined by simple linear inequalities
- [Higher] Solve quadratic inequalities in one unknown and represent the solution set on a number line
- [Higher] Identify harder examples of regions defined by linear inequalities
Akọ̀wé Ẹ̀kọ́
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Ìdánwò Ẹ̀kọ́
Oriire fun ipari ẹkọ lori Inequalities. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.
Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.
Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.
- Solve 3x + 2 > 14. A) x > 4 B) x > 6 C) x > 3 D) x < 4 Answer: A
- Which number line correctly shows x <= 3? A) Open circle at 3, arrow right B) Filled circle at 3, arrow left C) Open circle at 3, arrow left D) Filled circle at 3, arrow right Answer: B
- Solve -2x > 6. A) x > -3 B) x < -3 C) x > 3 D) x < 3 Answer: B
- Which integers satisfy -1 < x <= 3? A) -1, 0, 1, 2, 3 B) 0, 1, 2, 3 C) 0, 1, 2 D) -1, 0, 1, 2 Answer: B
- On a graph, the region below the line y = 2x + 1 (not including the line) is described by: A) y >= 2x + 1 B) y <= 2x + 1 C) y > 2x + 1 D) y < 2x + 1 Answer: D
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
O wa lori ohun elo Green Bridge
Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.
Awọn Iwe Itọsọna Ti a Gba Nimọran
Ṣe Adaṣe Awọn Ibeere Idanwo Adaṣe
Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Inequalities? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.
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