9.4 Inequalities on a number line and set notation — Practise with help

1. $-3$, then $2$.
2. $-2$.

If an answer differs, revisit Section 1.1 for ordering numbers and Section 1.3 for negative numbers.

Use their positions on a number line.

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

$1$ lies to the right, so $1>-2$.

Use a strict inequality symbol.

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

$x<5$.

Say whether 2 is included and which direction works.

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

All values at least 2; include 2 and shade right.

Choose an open boundary at $-1$ and a filled one at 3.

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

Shade between them; $-1$ is excluded and 3 included.

Start at the included lower boundary and stop before 4.

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

$0,1,2,3$.