Math question 4z + 11 < 9x -4?

Question

Can someone tell me how to do this question please: it says solve and graph on a number line:

4z + 11 < 9x - 4

Answer 1

4z+11&lt;9x-4

4z&lt;9x-15

z&lt;(9/5)x-(15/4)

You can&#039;t graph this on a number line, as there are two variables. Just replace the z with a y and graph it on the coordinate plane.

Answer 2

You cannot solve a single equation with more than one unknown.

Do you mean:

4x + 11 &lt; 9x - 4 ?

This can be solved and represented on a number line.

Solve it the same as if it was an equal sign, except if you multiply or divide by a negative number, you flip the sign, so:

15 &lt; 5x

3 &lt; x

x &gt; 3

You&#039;d graph this on a number line by drawing a circle at the 3 and drawing a vector (or a arrowed line signifying infinity) to the right.  The open circle means that 3 isn&#039;t part of the solution.  If it was, x ≥ 3, then you&#039;d use a solid dot.