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13 Hassan thinks of a number,
n. He multiplies it by 4
11
His answer is greater than -8 and less than or equal to 20
(a) Write the correct inequality signs to complete the inequality.
(b) Solve the inequality to find the possible values of
n. Give your answer as an inequality in terms of
n.

$13$ Hassan thinks of a number, $n$ . He multiplies it by $4$ $\newline$ $11$ $\newline$ His answer is greater than $-8$ and less than or equal to $20$ $\newline$ (a) Write the correct inequality signs to complete the inequality. $\newline$ (b) Solve the inequality to find the possible values of $n$ . Give your answer as an inequality in terms of $n$ .

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One-step inequalities: word problems

Full solution

Q.

13

Hassan thinks of a number,

n

. He multiplies it by

4

\newline

11

\newline

His answer is greater than

-8

and less than or equal to

20

\newline

(a) Write the correct inequality signs to complete the inequality.

\newline

(b) Solve the inequality to find the possible values of

n

. Give your answer as an inequality in terms of

n

.

Write Inequality: First, let's write the inequality for the problem. $\newline$ $-8 < 4n \leq 20$
Solve for n: Now, we need to solve for n by dividing the entire inequality by $4$ . $\newline$ $-8 \div 4 < 4n \div 4 \leq 20 \div 4$
Get Inequality for n: After dividing, we get the inequality for $n$ . $-2 < n \leq 5$

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