Exercises: Inequalities and Solution Sets

Solve each inequality and state the solution set. Flip the inequality sign only when multiplying or dividing by a negative number.

Grade 7·17 problems·~26 min·Uganda NCDC Primary 7 Mathematics·lesson·algebra-04

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Recall / Warm-Up

Review reading inequality symbols and translating simple statements.

How do you read the symbol $\geq$ ?

Less than

Greater than

Greater than or equal to

Translate "at least $10$ " into an inequality using $x$ : $x$ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $10$ .

inequality symbol:

Write the bearing-style statement "fewer than $20$ learners" as an inequality using $n$ : $n$ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $20$ .

inequality symbol:

Which inequality means "the temperature is not below $18$ degrees"?

$t < 18$

$t \geq 18$

$t > 18$

Solve for $x$ : $x + 3 < 8$ .

Solve for $x$ : $2x \geq 10$ .

Solve for $x$ : $-2x < 6$ .

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