9.5 Solving linear inequalities — Practise with help

1. $x=5$.
2. An open circle.

If an answer differs, revisit Section 9.1 for solving equations and Section 9.4 for number-line notation.

Subtract 4 from both sides.

Try the first operation or write the equation before opening the full solution.

$x>5$.

Divide by positive 2.

Try the first operation or write the equation before opening the full solution.

$x\leq5$.

Divide by negative 3 and reverse the sign.

Try the first operation or write the equation before opening the full solution.

$x\leq-4$.

Add 5, then divide by 4.

Try the first operation or write the equation before opening the full solution.

$4x<12$, so $x<3$.

Translate “triple” and “less than” into an inequality.

Try the first operation or write the equation before opening the full solution.

$3n<18$, so $n<6$.