solve the inequality.\nh - 6 ≤ -8.4\nthe solution is h ≤ -2.4.\ngraph the solution.

solve the inequality.\nh - 6 ≤ -8.4\nthe solution is h ≤ -2.4.\ngraph the solution.

solve the inequality.\nh - 6 ≤ -8.4\nthe solution is h ≤ -2.4.\ngraph the solution.

Answer

Explanation:

Step1: Isolate the variable h

Add 6 to both sides of the inequality $h - 6\leq - 8.4$. $h-6 + 6\leq-8.4 + 6$

Step2: Simplify the right - hand side

$h\leq-2.4$ For graphing:

  1. On the number line, since the inequality is $h\leq - 2.4$, we use a closed circle at $-2.4$ (because the inequality includes equality, $\leq$) and draw an arrow to the left (because we want all values of $h$ that are less than or equal to $-2.4$).

Answer:

The solution of the inequality $h - 6\leq - 8.4$ is $h\leq - 2.4$. For graphing, place a closed circle at $-2.4$ on the number line and draw an arrow to the left.