Question

Justify each step of this inequality by stating the property that was used to get to each step.

Given: -4(k+5)<15-11k + 3k Property used:
Step 1: -4(k+5)<15-11k+3k Step 1:
Step 2: -4k(k+5)<15-8k Step 2:
Step 3: 4k - 20 <15 Step 3:
Step 4: 4k<35 Step 4:
Step 5: k<8.75 Step 5:

Answer 1

Explanation:

step 1 simplified like terms -11k +3k =8k

step 2 incorrect should be -4k -20 on the left side distributive property

step 3 added 8k to each side

step 4 added 20 to each side

step 5 divided each side by 4