Mathematics - 0580 CIE

Inequalities

Gbogbo ọrọ náà

An inequality is like an equation, but instead of saying two things are equal it says one is greater or less than the other. That single change lets you describe ranges of values: speeds up to a limit, ages of at least a certain number, regions on a graph.

In this lesson you will represent and interpret inequalities, including on a number line, and (at Extended) construct and solve linear inequalities and represent them on a graph as regions.

Ebumnobi

Represent and interpret inequalities, including on a number line.
Construct, solve and interpret linear inequalities. (Extended only)
Represent and interpret linear inequalities in two variables graphically. (Extended only)
List inequalities that define a given region. (Extended only)

Akọmọ Ojú-ẹkọ

Inequalities describe the very common situation where a quantity must be within limits rather than exactly fixed. They build directly on the equation-solving skills you already have.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Inequalities. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

Solve 3x - 4 ⩽ 11. A. x ⩽ 3 B. x ⩽ 5 C. x ⩾ 5 D. x ⩽ 7 Answer: B
Solve -2x < 6. A. x < -3 B. x > -3 C. x < 3 D. x > 3 Answer: B
On a number line, x > 2 is shown by: A. a filled circle at 2, arrow right B. an open circle at 2, arrow right C. an open circle at 2, arrow left D. a filled circle at 2, arrow left Answer: B
Which inequality means 'x is at least 5'? A. x > 5 B. x < 5 C. x ⩾ 5 D. x ⩽ 5 Answer: C
Solve x + 3 > 10. A. x > 7 B. x > 13 C. x < 7 D. x > 3 Answer: A