SHSAT Math · Algebra

Inequalities Practice

Solve and graph inequalities on a number line. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

Solve the compound inequality:

-2 < x + 1 < 5

A-3 < x < 5
B-2 < x < 5
C-1 < x < 6
D-3 < x < 4

Show answer and explanation

Answer: D

Subtract 1 from all parts: -3 < x < 4. B adds 1 instead. C doesn't subtract. D only subtracts from left.

Question 2

Solve for

x

4x + 7 < 19

A $x < 10$
B $x < 12$
C $x > 3$
D $x < 3$

Show answer and explanation

Answer: D

Subtract

7

from both sides:

4x < 12

. Divide by

4

(positive, so the inequality keeps its direction):

x < 3

Question 3

Solve for

x

2x - 7 \leq 1

A $x \geq 4$
B $x \leq -3$
C $x \leq 8$
D $x \leq 4$

Show answer and explanation

Answer: D

Add

7

to both sides:

2x \leq 8

. Divide by

2

(positive, so the inequality keeps its direction):

x \leq 4

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Inequalities Practice

Free sample questions

Practice every inequalities question we have

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