<div class="test" style="width:1024px; min-height: 200px;">style="width:1024px; min-height: 200px;" </div>
<div class="test" style="min-height: 200px;">style="min-height: 200px;" </div>
<div class="test" style="width:1024px; min-height: 200px;">style="width:1024px;min-height: 200px;" </div>
<div class="test" style="min-height: 200px;">style="min-height:200px;" </div>

.test {
  background: #ccc;
  margin: 0 0 0.5rem;
  padding: 1rem;
}
[style="min-height: 200px;"] {
  background: red;
  min-height: 10px !important;
}