Write the word sentence as an inequality. Then solve the inequality. The quotient of a number x and 4 is at most 5.

An inequality is
.

The solution of this inequality is
.

Inequality: x ÷ 4 ≤ 5

Solution: x ≤ 20

Step-by-step explanation:

quotient = division

at most = either ≥ or ≤

x ÷ 4 ≤  5

x ÷ 4 x 4 ≤ 5 x 4

x ≤ 20

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x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1