Inequalities Worksheet #01, Algebra Revision From Gcse Maths Tutor
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inequalities
Algebra - inequalities GCSE Maths Tutor
question sheet A-INEQ-01
www.gcsemathstutor.com
[email protected]
1. Solve for x and represent your answer on a number line. (a) 5 x − 3 > 7
(b) 3 x − 2 > 5
(c) x + 1 > 4
(d) 2 x + 5 ≤ 2
(e) 3 x + 7 ≥ 1
(f) x + 9 ≤ 2
(g)
x−3 >9 3
(h)
2x + 5 ≤6 2
(i)
3x + 1 ≥ 10 5
2. For each number line describing x write down the inequality.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)
3. Solve for x. (a) 6 ≤ x + 3 < 9
(b) 3 ≤ x + 2 < 5
(c) 4 ≤ x + 1 < 7
(d) −3 < 2 x + 1 < 5
(e) −1 < 2 x + 6 ≤ 8
(f) −6 ≤ 3 x + 2 ≤ 8
(g) −7 < x − 2 ≤ −5
(h) −6 > 3 x + 2 ≥ −10
(i) −8 ≤ x + 6 ≤ 8
(j) 5 <
2x + 1 ≤ 10 5
GCSE Maths Tutor
(k) 6 ≤
x −1 < 24 3
www.gcsemathstutor.com
(l) 8 ≤
3x − 4 ≤ 16 4
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inequalities
Algebra - inequalities GCSE Maths Tutor
answer sheet A-INEQ-01
www.gcsemathstutor.com
[email protected]
1. (a) x > 2
(b) x > 2 1 3
(c) x > 3
(d) x ≤ −1 1 2
(e) x ≥ −2
(f) x ≤ −7
(g) x > 30
(h) x ≤ 3 1 2
(i) x ≥ 16 1 3
2. (a) x ≤ 4
(b) x ≤ 6
(c) x > 7
(d) x > 4
(e) −2 ≤ x < 7
(f) −1 ≤ x ≤ 2
(g) −3 < x ≤ 5
(h) 3 < x < 7
(i) x < 3
(j) x < −9
(k) x ≥ −2
(l) x ≥ 15
3. (a) 3 ≤ x < 6
(b) 1 ≤ x < 3
(c) 3 ≤ x < 6
(d) −2 < x < 2
(e) −3 1 2 < x ≤ 1
(f) −2 2 3 ≤ x ≤ 2
(g) −5 < x ≤ −3
(h) −2 2 3 > x ≥ −4
(i) −14 ≤ x ≤ 2
(j) 12 < x ≤ 24 1 2
(k) 19 ≤ x < 73
(l) 12 ≤ x ≤ 22 2 3
GCSE Maths Tutor
www.gcsemathstutor.com
[email protected]
Algebra - inequalities GCSE Maths Tutor
question sheet A-INEQ-01
www.gcsemathstutor.com
[email protected]
1. Solve for x and represent your answer on a number line. (a) 5 x − 3 > 7
(b) 3 x − 2 > 5
(c) x + 1 > 4
(d) 2 x + 5 ≤ 2
(e) 3 x + 7 ≥ 1
(f) x + 9 ≤ 2
(g)
x−3 >9 3
(h)
2x + 5 ≤6 2
(i)
3x + 1 ≥ 10 5
2. For each number line describing x write down the inequality.
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)
3. Solve for x. (a) 6 ≤ x + 3 < 9
(b) 3 ≤ x + 2 < 5
(c) 4 ≤ x + 1 < 7
(d) −3 < 2 x + 1 < 5
(e) −1 < 2 x + 6 ≤ 8
(f) −6 ≤ 3 x + 2 ≤ 8
(g) −7 < x − 2 ≤ −5
(h) −6 > 3 x + 2 ≥ −10
(i) −8 ≤ x + 6 ≤ 8
(j) 5 <
2x + 1 ≤ 10 5
GCSE Maths Tutor
(k) 6 ≤
x −1 < 24 3
www.gcsemathstutor.com
(l) 8 ≤
3x − 4 ≤ 16 4
[email protected]
inequalities
Algebra - inequalities GCSE Maths Tutor
answer sheet A-INEQ-01
www.gcsemathstutor.com
[email protected]
1. (a) x > 2
(b) x > 2 1 3
(c) x > 3
(d) x ≤ −1 1 2
(e) x ≥ −2
(f) x ≤ −7
(g) x > 30
(h) x ≤ 3 1 2
(i) x ≥ 16 1 3
2. (a) x ≤ 4
(b) x ≤ 6
(c) x > 7
(d) x > 4
(e) −2 ≤ x < 7
(f) −1 ≤ x ≤ 2
(g) −3 < x ≤ 5
(h) 3 < x < 7
(i) x < 3
(j) x < −9
(k) x ≥ −2
(l) x ≥ 15
3. (a) 3 ≤ x < 6
(b) 1 ≤ x < 3
(c) 3 ≤ x < 6
(d) −2 < x < 2
(e) −3 1 2 < x ≤ 1
(f) −2 2 3 ≤ x ≤ 2
(g) −5 < x ≤ −3
(h) −2 2 3 > x ≥ −4
(i) −14 ≤ x ≤ 2
(j) 12 < x ≤ 24 1 2
(k) 19 ≤ x < 73
(l) 12 ≤ x ≤ 22 2 3
GCSE Maths Tutor
www.gcsemathstutor.com
[email protected]
