Corbettmaths Inequalities Exam Style Questions

Vocabulary flashcards covering algebraic inequality terms, constraints, and solutions from the Corbettmaths exam practice document.

Solve 5x>15

x>3

Solve 3x - 8 > 16

x > 8

Which integers $n$ satisfy 4\le n<8

$$4, 5, 6, 7$$

Which intergers $n$ satisfy -4<2n\le6

$$-1, 0, 1, 2, 3$$

Which intergers $n$ satisfy 3n-4>16

All integers such that n>6 or $n\ge7$

Solve -9\le3x<18

-3\le x<6

Solve 4x < 9 - 2x

x<1.5

Solve -5<x+2<4

-7<x<2

Solve $2(3x-5)\ge42$

$$x\ge\frac{26}{3}$$

What is the correct first step to solve this inequality? 2x + 9 > 19 - 8x

Add $8x$ to both sides

A common incorrectly applied first step to solve the inequality 8<10-\frac{x}{2} is to multiply by 2 and get 16<10-x. What should the inequality be after multiplying by 2?

16<20-x

(10 - 4x)/7 > 5

An inequality with fraction $\frac{10 - 4x}{7} > 5$ whose largest satisfying integer is $-7$

Solve -2x<4 : Warning common mistake

-2<x or x>-2 (careful not x<-2 )

x<3

$$x\ge1$$

-1\le x<4

Solve x^2+6x+8<0

-4<x<-2

Solve $x²−x−30≥0$

Either $x\le-5$ or $x\ge6$

Solve f(x)<0

-2<x<3

Solve $f(x)\le0$

$x\le1$ or $x\ge5$

Solve $f(x)\ge4$

$x\le-4$ or$x\ge-3$

Solve f(x)<0

x<-4 or -2<x<1